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Finding the Fourth Proportional to 9,089.38, 12,543.96 and 5,549.68

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Solution

The fourth proportional to 9,089.38, 12,543.96 and 5,549.68 is: 7,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.38 : 12,543.96 = 5,549.68 : x
  2. Step 2: Convert to fraction form
    9,089.38/12,543.96 = 5,549.68/x
  3. Step 3: Cross multiply
    9,089.38x = 12,543.96 × 5,549.68
  4. Step 4: Simplify right side
    9,089.38x = 69,614,963.93
  5. Step 5: Solve for x
    x = 69,614,963.93/9,089.38
  6. Step 6: Final answer
    x = 7,658.93

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Why These Related Problems?

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