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Finding the Fourth Proportional to 6,470.82, 9,708.12 and 2,088.18

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Solution

The fourth proportional to 6,470.82, 9,708.12 and 2,088.18 is: 3,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.82 : 9,708.12 = 2,088.18 : x
  2. Step 2: Convert to fraction form
    6,470.82/9,708.12 = 2,088.18/x
  3. Step 3: Cross multiply
    6,470.82x = 9,708.12 × 2,088.18
  4. Step 4: Simplify right side
    6,470.82x = 20,272,302.02
  5. Step 5: Solve for x
    x = 20,272,302.02/6,470.82
  6. Step 6: Final answer
    x = 3,132.88

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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.