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Finding the Fourth Proportional to 9,382.47, 12,947.81 and 5,403.50

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Solution

The fourth proportional to 9,382.47, 12,947.81 and 5,403.50 is: 7,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.47 : 12,947.81 = 5,403.50 : x
  2. Step 2: Convert to fraction form
    9,382.47/12,947.81 = 5,403.50/x
  3. Step 3: Cross multiply
    9,382.47x = 12,947.81 × 5,403.50
  4. Step 4: Simplify right side
    9,382.47x = 69,963,491.34
  5. Step 5: Solve for x
    x = 69,963,491.34/9,382.47
  6. Step 6: Final answer
    x = 7,456.83

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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.