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Finding the Fourth Proportional to 10,408.62, 14,368.80 and 6,432.06

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Solution

The fourth proportional to 10,408.62, 14,368.80 and 6,432.06 is: 8,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.62 : 14,368.80 = 6,432.06 : x
  2. Step 2: Convert to fraction form
    10,408.62/14,368.80 = 6,432.06/x
  3. Step 3: Cross multiply
    10,408.62x = 14,368.80 × 6,432.06
  4. Step 4: Simplify right side
    10,408.62x = 92,420,983.73
  5. Step 5: Solve for x
    x = 92,420,983.73/10,408.62
  6. Step 6: Final answer
    x = 8,879.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.