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Finding the Fourth Proportional to 9,291.87, 13,934.15 and 3,744.18

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Solution

The fourth proportional to 9,291.87, 13,934.15 and 3,744.18 is: 5,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.87 : 13,934.15 = 3,744.18 : x
  2. Step 2: Convert to fraction form
    9,291.87/13,934.15 = 3,744.18/x
  3. Step 3: Cross multiply
    9,291.87x = 13,934.15 × 3,744.18
  4. Step 4: Simplify right side
    9,291.87x = 52,171,975.11
  5. Step 5: Solve for x
    x = 52,171,975.11/9,291.87
  6. Step 6: Final answer
    x = 5,614.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.