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Finding the Fourth Proportional to 9,527.38, 13,151.24 and 7,755.91

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Solution

The fourth proportional to 9,527.38, 13,151.24 and 7,755.91 is: 10,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.38 : 13,151.24 = 7,755.91 : x
  2. Step 2: Convert to fraction form
    9,527.38/13,151.24 = 7,755.91/x
  3. Step 3: Cross multiply
    9,527.38x = 13,151.24 × 7,755.91
  4. Step 4: Simplify right side
    9,527.38x = 101,999,833.83
  5. Step 5: Solve for x
    x = 101,999,833.83/9,527.38
  6. Step 6: Final answer
    x = 10,705.97

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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.