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Finding the Fourth Proportional to 9,136.47, 13,624.49 and 9,053.31

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Solution

The fourth proportional to 9,136.47, 13,624.49 and 9,053.31 is: 13,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.47 : 13,624.49 = 9,053.31 : x
  2. Step 2: Convert to fraction form
    9,136.47/13,624.49 = 9,053.31/x
  3. Step 3: Cross multiply
    9,136.47x = 13,624.49 × 9,053.31
  4. Step 4: Simplify right side
    9,136.47x = 123,346,686.30
  5. Step 5: Solve for x
    x = 123,346,686.30/9,136.47
  6. Step 6: Final answer
    x = 13,500.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.