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Finding the Fourth Proportional to 6,023.68, 9,034.56 and 1,641.44

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Solution

The fourth proportional to 6,023.68, 9,034.56 and 1,641.44 is: 2,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.68 : 9,034.56 = 1,641.44 : x
  2. Step 2: Convert to fraction form
    6,023.68/9,034.56 = 1,641.44/x
  3. Step 3: Cross multiply
    6,023.68x = 9,034.56 × 1,641.44
  4. Step 4: Simplify right side
    6,023.68x = 14,829,688.17
  5. Step 5: Solve for x
    x = 14,829,688.17/6,023.68
  6. Step 6: Final answer
    x = 2,461.90

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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.