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Finding the Fourth Proportional to 6,342.30, 9,498.87 and 4,589.46

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Solution

The fourth proportional to 6,342.30, 9,498.87 and 4,589.46 is: 6,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.30 : 9,498.87 = 4,589.46 : x
  2. Step 2: Convert to fraction form
    6,342.30/9,498.87 = 4,589.46/x
  3. Step 3: Cross multiply
    6,342.30x = 9,498.87 × 4,589.46
  4. Step 4: Simplify right side
    6,342.30x = 43,594,683.91
  5. Step 5: Solve for x
    x = 43,594,683.91/6,342.30
  6. Step 6: Final answer
    x = 6,873.64

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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.