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Finding the Fourth Proportional to 9,781.64, 14,665.17 and 5,885.14

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Solution

The fourth proportional to 9,781.64, 14,665.17 and 5,885.14 is: 8,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.64 : 14,665.17 = 5,885.14 : x
  2. Step 2: Convert to fraction form
    9,781.64/14,665.17 = 5,885.14/x
  3. Step 3: Cross multiply
    9,781.64x = 14,665.17 × 5,885.14
  4. Step 4: Simplify right side
    9,781.64x = 86,306,549.15
  5. Step 5: Solve for x
    x = 86,306,549.15/9,781.64
  6. Step 6: Final answer
    x = 8,823.32

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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.