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Finding the Fourth Proportional to 9,007.65, 12,429.81 and 5,229.60

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Solution

The fourth proportional to 9,007.65, 12,429.81 and 5,229.60 is: 7,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.65 : 12,429.81 = 5,229.60 : x
  2. Step 2: Convert to fraction form
    9,007.65/12,429.81 = 5,229.60/x
  3. Step 3: Cross multiply
    9,007.65x = 12,429.81 × 5,229.60
  4. Step 4: Simplify right side
    9,007.65x = 65,002,934.38
  5. Step 5: Solve for x
    x = 65,002,934.38/9,007.65
  6. Step 6: Final answer
    x = 7,216.41

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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.