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Finding the Fourth Proportional to 6,231.89, 9,354.07 and 4,478.95

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Solution

The fourth proportional to 6,231.89, 9,354.07 and 4,478.95 is: 6,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.89 : 9,354.07 = 4,478.95 : x
  2. Step 2: Convert to fraction form
    6,231.89/9,354.07 = 4,478.95/x
  3. Step 3: Cross multiply
    6,231.89x = 9,354.07 × 4,478.95
  4. Step 4: Simplify right side
    6,231.89x = 41,896,411.83
  5. Step 5: Solve for x
    x = 41,896,411.83/6,231.89
  6. Step 6: Final answer
    x = 6,722.91

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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.