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Finding the Fourth Proportional to 9,115.28, 12,578.80 and 5,136.30

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Solution

The fourth proportional to 9,115.28, 12,578.80 and 5,136.30 is: 7,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.28 : 12,578.80 = 5,136.30 : x
  2. Step 2: Convert to fraction form
    9,115.28/12,578.80 = 5,136.30/x
  3. Step 3: Cross multiply
    9,115.28x = 12,578.80 × 5,136.30
  4. Step 4: Simplify right side
    9,115.28x = 64,608,490.44
  5. Step 5: Solve for x
    x = 64,608,490.44/9,115.28
  6. Step 6: Final answer
    x = 7,087.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.