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Finding the Fourth Proportional to 9,126.24, 12,593.88 and 5,147.28

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Solution

The fourth proportional to 9,126.24, 12,593.88 and 5,147.28 is: 7,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.24 : 12,593.88 = 5,147.28 : x
  2. Step 2: Convert to fraction form
    9,126.24/12,593.88 = 5,147.28/x
  3. Step 3: Cross multiply
    9,126.24x = 12,593.88 × 5,147.28
  4. Step 4: Simplify right side
    9,126.24x = 64,824,226.65
  5. Step 5: Solve for x
    x = 64,824,226.65/9,126.24
  6. Step 6: Final answer
    x = 7,103.06

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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.