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Finding the Fourth Proportional to 8,470.47, 11,694.73 and 5,446.95

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Solution

The fourth proportional to 8,470.47, 11,694.73 and 5,446.95 is: 7,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.47 : 11,694.73 = 5,446.95 : x
  2. Step 2: Convert to fraction form
    8,470.47/11,694.73 = 5,446.95/x
  3. Step 3: Cross multiply
    8,470.47x = 11,694.73 × 5,446.95
  4. Step 4: Simplify right side
    8,470.47x = 63,700,609.57
  5. Step 5: Solve for x
    x = 63,700,609.57/8,470.47
  6. Step 6: Final answer
    x = 7,520.32

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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.