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Finding the Fourth Proportional to 6,023.57, 9,033.80 and 1,862.46

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Solution

The fourth proportional to 6,023.57, 9,033.80 and 1,862.46 is: 2,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.57 : 9,033.80 = 1,862.46 : x
  2. Step 2: Convert to fraction form
    6,023.57/9,033.80 = 1,862.46/x
  3. Step 3: Cross multiply
    6,023.57x = 9,033.80 × 1,862.46
  4. Step 4: Simplify right side
    6,023.57x = 16,825,081.84
  5. Step 5: Solve for x
    x = 16,825,081.84/6,023.57
  6. Step 6: Final answer
    x = 2,793.21

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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.