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Finding the Fourth Proportional to 9,142.68, 13,712.46 and 3,298.44

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Solution

The fourth proportional to 9,142.68, 13,712.46 and 3,298.44 is: 4,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.68 : 13,712.46 = 3,298.44 : x
  2. Step 2: Convert to fraction form
    9,142.68/13,712.46 = 3,298.44/x
  3. Step 3: Cross multiply
    9,142.68x = 13,712.46 × 3,298.44
  4. Step 4: Simplify right side
    9,142.68x = 45,229,726.56
  5. Step 5: Solve for x
    x = 45,229,726.56/9,142.68
  6. Step 6: Final answer
    x = 4,947.10

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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.