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Finding the Fourth Proportional to 6,827.59, 9,422.31 and 4,139.68

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Solution

The fourth proportional to 6,827.59, 9,422.31 and 4,139.68 is: 5,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.59 : 9,422.31 = 4,139.68 : x
  2. Step 2: Convert to fraction form
    6,827.59/9,422.31 = 4,139.68/x
  3. Step 3: Cross multiply
    6,827.59x = 9,422.31 × 4,139.68
  4. Step 4: Simplify right side
    6,827.59x = 39,005,348.26
  5. Step 5: Solve for x
    x = 39,005,348.26/6,827.59
  6. Step 6: Final answer
    x = 5,712.90

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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.