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Finding the Fourth Proportional to 37,471.68, 56,206.18 and 9,391.96

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Solution

The fourth proportional to 37,471.68, 56,206.18 and 9,391.96 is: 14,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,471.68 : 56,206.18 = 9,391.96 : x
  2. Step 2: Convert to fraction form
    37,471.68/56,206.18 = 9,391.96/x
  3. Step 3: Cross multiply
    37,471.68x = 56,206.18 × 9,391.96
  4. Step 4: Simplify right side
    37,471.68x = 527,886,194.31
  5. Step 5: Solve for x
    x = 527,886,194.31/37,471.68
  6. Step 6: Final answer
    x = 14,087.60

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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.