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Finding the Fourth Proportional to 7,909.38, 10,914.47 and 4,372.38

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Solution

The fourth proportional to 7,909.38, 10,914.47 and 4,372.38 is: 6,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.38 : 10,914.47 = 4,372.38 : x
  2. Step 2: Convert to fraction form
    7,909.38/10,914.47 = 4,372.38/x
  3. Step 3: Cross multiply
    7,909.38x = 10,914.47 × 4,372.38
  4. Step 4: Simplify right side
    7,909.38x = 47,722,210.34
  5. Step 5: Solve for x
    x = 47,722,210.34/7,909.38
  6. Step 6: Final answer
    x = 6,033.62

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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.