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Finding the Fourth Proportional to 9,781.76, 14,666.40 and 6,446.15

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Solution

The fourth proportional to 9,781.76, 14,666.40 and 6,446.15 is: 9,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.76 : 14,666.40 = 6,446.15 : x
  2. Step 2: Convert to fraction form
    9,781.76/14,666.40 = 6,446.15/x
  3. Step 3: Cross multiply
    9,781.76x = 14,666.40 × 6,446.15
  4. Step 4: Simplify right side
    9,781.76x = 94,541,796.03
  5. Step 5: Solve for x
    x = 94,541,796.03/9,781.76
  6. Step 6: Final answer
    x = 9,665.11

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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.