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Finding the Fourth Proportional to 6,773.31, 9,348.16 and 4,120.20

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Solution

The fourth proportional to 6,773.31, 9,348.16 and 4,120.20 is: 5,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.31 : 9,348.16 = 4,120.20 : x
  2. Step 2: Convert to fraction form
    6,773.31/9,348.16 = 4,120.20/x
  3. Step 3: Cross multiply
    6,773.31x = 9,348.16 × 4,120.20
  4. Step 4: Simplify right side
    6,773.31x = 38,516,268.23
  5. Step 5: Solve for x
    x = 38,516,268.23/6,773.31
  6. Step 6: Final answer
    x = 5,686.48

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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.