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Finding the Fourth Proportional to 6,473.47, 9,711.42 and 3,839.95

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Solution

The fourth proportional to 6,473.47, 9,711.42 and 3,839.95 is: 5,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.47 : 9,711.42 = 3,839.95 : x
  2. Step 2: Convert to fraction form
    6,473.47/9,711.42 = 3,839.95/x
  3. Step 3: Cross multiply
    6,473.47x = 9,711.42 × 3,839.95
  4. Step 4: Simplify right side
    6,473.47x = 37,291,367.23
  5. Step 5: Solve for x
    x = 37,291,367.23/6,473.47
  6. Step 6: Final answer
    x = 5,760.65

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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.