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Finding the Fourth Proportional to 9,149.76, 13,724.52 and 5,251.38

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Solution

The fourth proportional to 9,149.76, 13,724.52 and 5,251.38 is: 7,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.76 : 13,724.52 = 5,251.38 : x
  2. Step 2: Convert to fraction form
    9,149.76/13,724.52 = 5,251.38/x
  3. Step 3: Cross multiply
    9,149.76x = 13,724.52 × 5,251.38
  4. Step 4: Simplify right side
    9,149.76x = 72,072,669.84
  5. Step 5: Solve for x
    x = 72,072,669.84/9,149.76
  6. Step 6: Final answer
    x = 7,877.00

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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.