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Finding the Fourth Proportional to 9,960.14, 14,915.56 and 5,787.49

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Solution

The fourth proportional to 9,960.14, 14,915.56 and 5,787.49 is: 8,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.14 : 14,915.56 = 5,787.49 : x
  2. Step 2: Convert to fraction form
    9,960.14/14,915.56 = 5,787.49/x
  3. Step 3: Cross multiply
    9,960.14x = 14,915.56 × 5,787.49
  4. Step 4: Simplify right side
    9,960.14x = 86,323,654.34
  5. Step 5: Solve for x
    x = 86,323,654.34/9,960.14
  6. Step 6: Final answer
    x = 8,666.92

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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.