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Finding the Fourth Proportional to 6,442.20, 9,641.70 and 4,498.20

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Solution

The fourth proportional to 6,442.20, 9,641.70 and 4,498.20 is: 6,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.20 : 9,641.70 = 4,498.20 : x
  2. Step 2: Convert to fraction form
    6,442.20/9,641.70 = 4,498.20/x
  3. Step 3: Cross multiply
    6,442.20x = 9,641.70 × 4,498.20
  4. Step 4: Simplify right side
    6,442.20x = 43,370,294.94
  5. Step 5: Solve for x
    x = 43,370,294.94/6,442.20
  6. Step 6: Final answer
    x = 6,732.22

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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.