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Finding the Fourth Proportional to 9,702,408.80, 14,552,446.80 and 4,022,040.80

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Solution

The fourth proportional to 9,702,408.80, 14,552,446.80 and 4,022,040.80 is: 6,032,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,408.80 : 14,552,446.80 = 4,022,040.80 : x
  2. Step 2: Convert to fraction form
    9,702,408.80/14,552,446.80 = 4,022,040.80/x
  3. Step 3: Cross multiply
    9,702,408.80x = 14,552,446.80 × 4,022,040.80
  4. Step 4: Simplify right side
    9,702,408.80x = 58,530,534,769,429.44
  5. Step 5: Solve for x
    x = 58,530,534,769,429.44/9,702,408.80
  6. Step 6: Final answer
    x = 6,032,577.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.