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Finding the Fourth Proportional to 9,141.25, 13,711.95 and 2,901.13

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Solution

The fourth proportional to 9,141.25, 13,711.95 and 2,901.13 is: 4,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.25 : 13,711.95 = 2,901.13 : x
  2. Step 2: Convert to fraction form
    9,141.25/13,711.95 = 2,901.13/x
  3. Step 3: Cross multiply
    9,141.25x = 13,711.95 × 2,901.13
  4. Step 4: Simplify right side
    9,141.25x = 39,780,149.50
  5. Step 5: Solve for x
    x = 39,780,149.50/9,141.25
  6. Step 6: Final answer
    x = 4,351.72

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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.