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Finding the Fourth Proportional to 6,287.37, 9,432.67 and 4,442.10

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Solution

The fourth proportional to 6,287.37, 9,432.67 and 4,442.10 is: 6,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.37 : 9,432.67 = 4,442.10 : x
  2. Step 2: Convert to fraction form
    6,287.37/9,432.67 = 4,442.10/x
  3. Step 3: Cross multiply
    6,287.37x = 9,432.67 × 4,442.10
  4. Step 4: Simplify right side
    6,287.37x = 41,900,863.41
  5. Step 5: Solve for x
    x = 41,900,863.41/6,287.37
  6. Step 6: Final answer
    x = 6,664.29

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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.