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Finding the Fourth Proportional to 10,947.45, 15,099.15 and 9,437.61

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Solution

The fourth proportional to 10,947.45, 15,099.15 and 9,437.61 is: 13,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.45 : 15,099.15 = 9,437.61 : x
  2. Step 2: Convert to fraction form
    10,947.45/15,099.15 = 9,437.61/x
  3. Step 3: Cross multiply
    10,947.45x = 15,099.15 × 9,437.61
  4. Step 4: Simplify right side
    10,947.45x = 142,499,889.03
  5. Step 5: Solve for x
    x = 142,499,889.03/10,947.45
  6. Step 6: Final answer
    x = 13,016.72

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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.