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Finding the Fourth Proportional to 7,195.38, 9,929.57 and 4,008.65

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Solution

The fourth proportional to 7,195.38, 9,929.57 and 4,008.65 is: 5,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.38 : 9,929.57 = 4,008.65 : x
  2. Step 2: Convert to fraction form
    7,195.38/9,929.57 = 4,008.65/x
  3. Step 3: Cross multiply
    7,195.38x = 9,929.57 × 4,008.65
  4. Step 4: Simplify right side
    7,195.38x = 39,804,101.09
  5. Step 5: Solve for x
    x = 39,804,101.09/7,195.38
  6. Step 6: Final answer
    x = 5,531.90

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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.