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Finding the Fourth Proportional to 7,414.83, 10,234.22 and 4,432.01

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Solution

The fourth proportional to 7,414.83, 10,234.22 and 4,432.01 is: 6,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.83 : 10,234.22 = 4,432.01 : x
  2. Step 2: Convert to fraction form
    7,414.83/10,234.22 = 4,432.01/x
  3. Step 3: Cross multiply
    7,414.83x = 10,234.22 × 4,432.01
  4. Step 4: Simplify right side
    7,414.83x = 45,358,092.05
  5. Step 5: Solve for x
    x = 45,358,092.05/7,414.83
  6. Step 6: Final answer
    x = 6,117.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.