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Finding the Fourth Proportional to 9,251.76, 12,767.65 and 5,273.24

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Solution

The fourth proportional to 9,251.76, 12,767.65 and 5,273.24 is: 7,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.76 : 12,767.65 = 5,273.24 : x
  2. Step 2: Convert to fraction form
    9,251.76/12,767.65 = 5,273.24/x
  3. Step 3: Cross multiply
    9,251.76x = 12,767.65 × 5,273.24
  4. Step 4: Simplify right side
    9,251.76x = 67,326,901.42
  5. Step 5: Solve for x
    x = 67,326,901.42/9,251.76
  6. Step 6: Final answer
    x = 7,277.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.