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Finding the Fourth Proportional to 8,975.92, 12,382.68 and 5,437.84

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Solution

The fourth proportional to 8,975.92, 12,382.68 and 5,437.84 is: 7,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.92 : 12,382.68 = 5,437.84 : x
  2. Step 2: Convert to fraction form
    8,975.92/12,382.68 = 5,437.84/x
  3. Step 3: Cross multiply
    8,975.92x = 12,382.68 × 5,437.84
  4. Step 4: Simplify right side
    8,975.92x = 67,335,032.61
  5. Step 5: Solve for x
    x = 67,335,032.61/8,975.92
  6. Step 6: Final answer
    x = 7,501.74

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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.