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Finding the Fourth Proportional to 9,647.48, 14,472.72 and 3,408.32

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Solution

The fourth proportional to 9,647.48, 14,472.72 and 3,408.32 is: 5,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.48 : 14,472.72 = 3,408.32 : x
  2. Step 2: Convert to fraction form
    9,647.48/14,472.72 = 3,408.32/x
  3. Step 3: Cross multiply
    9,647.48x = 14,472.72 × 3,408.32
  4. Step 4: Simplify right side
    9,647.48x = 49,327,661.03
  5. Step 5: Solve for x
    x = 49,327,661.03/9,647.48
  6. Step 6: Final answer
    x = 5,113.01

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