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Finding the Fourth Proportional to 9,278.57, 13,915.14 and 2,614.62

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Solution

The fourth proportional to 9,278.57, 13,915.14 and 2,614.62 is: 3,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.57 : 13,915.14 = 2,614.62 : x
  2. Step 2: Convert to fraction form
    9,278.57/13,915.14 = 2,614.62/x
  3. Step 3: Cross multiply
    9,278.57x = 13,915.14 × 2,614.62
  4. Step 4: Simplify right side
    9,278.57x = 36,382,845.72
  5. Step 5: Solve for x
    x = 36,382,845.72/9,278.57
  6. Step 6: Final answer
    x = 3,921.17

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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.