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Finding the Fourth Proportional to 9,711.47, 14,569.92 and 3,868.53

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Solution

The fourth proportional to 9,711.47, 14,569.92 and 3,868.53 is: 5,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.47 : 14,569.92 = 3,868.53 : x
  2. Step 2: Convert to fraction form
    9,711.47/14,569.92 = 3,868.53/x
  3. Step 3: Cross multiply
    9,711.47x = 14,569.92 × 3,868.53
  4. Step 4: Simplify right side
    9,711.47x = 56,364,172.62
  5. Step 5: Solve for x
    x = 56,364,172.62/9,711.47
  6. Step 6: Final answer
    x = 5,803.88

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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.