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Finding the Fourth Proportional to 6,342.20, 9,497.10 and 4,689.80

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Solution

The fourth proportional to 6,342.20, 9,497.10 and 4,689.80 is: 7,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.20 : 9,497.10 = 4,689.80 : x
  2. Step 2: Convert to fraction form
    6,342.20/9,497.10 = 4,689.80/x
  3. Step 3: Cross multiply
    6,342.20x = 9,497.10 × 4,689.80
  4. Step 4: Simplify right side
    6,342.20x = 44,539,499.58
  5. Step 5: Solve for x
    x = 44,539,499.58/6,342.20
  6. Step 6: Final answer
    x = 7,022.72

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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.