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Finding the Fourth Proportional to 9,526.38, 13,149.86 and 7,754.91

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Solution

The fourth proportional to 9,526.38, 13,149.86 and 7,754.91 is: 10,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.38 : 13,149.86 = 7,754.91 : x
  2. Step 2: Convert to fraction form
    9,526.38/13,149.86 = 7,754.91/x
  3. Step 3: Cross multiply
    9,526.38x = 13,149.86 × 7,754.91
  4. Step 4: Simplify right side
    9,526.38x = 101,975,942.04
  5. Step 5: Solve for x
    x = 101,975,942.04/9,526.38
  6. Step 6: Final answer
    x = 10,704.58

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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.