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Finding the Fourth Proportional to 6,020.40, 9,016.56 and 5,854.32

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Solution

The fourth proportional to 6,020.40, 9,016.56 and 5,854.32 is: 8,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.40 : 9,016.56 = 5,854.32 : x
  2. Step 2: Convert to fraction form
    6,020.40/9,016.56 = 5,854.32/x
  3. Step 3: Cross multiply
    6,020.40x = 9,016.56 × 5,854.32
  4. Step 4: Simplify right side
    6,020.40x = 52,785,827.54
  5. Step 5: Solve for x
    x = 52,785,827.54/6,020.40
  6. Step 6: Final answer
    x = 8,767.83

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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.