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Finding the Fourth Proportional to 9,298.59, 13,947.71 and 2,724.63

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Solution

The fourth proportional to 9,298.59, 13,947.71 and 2,724.63 is: 4,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.59 : 13,947.71 = 2,724.63 : x
  2. Step 2: Convert to fraction form
    9,298.59/13,947.71 = 2,724.63/x
  3. Step 3: Cross multiply
    9,298.59x = 13,947.71 × 2,724.63
  4. Step 4: Simplify right side
    9,298.59x = 38,002,335.47
  5. Step 5: Solve for x
    x = 38,002,335.47/9,298.59
  6. Step 6: Final answer
    x = 4,086.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.