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Finding the Fourth Proportional to 6,862.29, 9,470.62 and 4,211.43

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Solution

The fourth proportional to 6,862.29, 9,470.62 and 4,211.43 is: 5,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.29 : 9,470.62 = 4,211.43 : x
  2. Step 2: Convert to fraction form
    6,862.29/9,470.62 = 4,211.43/x
  3. Step 3: Cross multiply
    6,862.29x = 9,470.62 × 4,211.43
  4. Step 4: Simplify right side
    6,862.29x = 39,884,853.19
  5. Step 5: Solve for x
    x = 39,884,853.19/6,862.29
  6. Step 6: Final answer
    x = 5,812.18

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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.