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Finding the Fourth Proportional to 9,154.74, 13,732.60 and 2,915.24

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Solution

The fourth proportional to 9,154.74, 13,732.60 and 2,915.24 is: 4,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.74 : 13,732.60 = 2,915.24 : x
  2. Step 2: Convert to fraction form
    9,154.74/13,732.60 = 2,915.24/x
  3. Step 3: Cross multiply
    9,154.74x = 13,732.60 × 2,915.24
  4. Step 4: Simplify right side
    9,154.74x = 40,033,824.82
  5. Step 5: Solve for x
    x = 40,033,824.82/9,154.74
  6. Step 6: Final answer
    x = 4,373.02

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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.