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Finding the Fourth Proportional to 9,781.90, 14,672.85 and 6,088.30

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Solution

The fourth proportional to 9,781.90, 14,672.85 and 6,088.30 is: 9,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.90 : 14,672.85 = 6,088.30 : x
  2. Step 2: Convert to fraction form
    9,781.90/14,672.85 = 6,088.30/x
  3. Step 3: Cross multiply
    9,781.90x = 14,672.85 × 6,088.30
  4. Step 4: Simplify right side
    9,781.90x = 89,332,712.66
  5. Step 5: Solve for x
    x = 89,332,712.66/9,781.90
  6. Step 6: Final answer
    x = 9,132.45

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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.