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Finding the Fourth Proportional to 9,126.52, 12,592.21 and 5,347.65

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Solution

The fourth proportional to 9,126.52, 12,592.21 and 5,347.65 is: 7,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.52 : 12,592.21 = 5,347.65 : x
  2. Step 2: Convert to fraction form
    9,126.52/12,592.21 = 5,347.65/x
  3. Step 3: Cross multiply
    9,126.52x = 12,592.21 × 5,347.65
  4. Step 4: Simplify right side
    9,126.52x = 67,338,785.71
  5. Step 5: Solve for x
    x = 67,338,785.71/9,126.52
  6. Step 6: Final answer
    x = 7,378.37

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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.