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Finding the Fourth Proportional to 7,229.48, 9,972.42 and 4,433

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Solution

The fourth proportional to 7,229.48, 9,972.42 and 4,433 is: 6,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.48 : 9,972.42 = 4,433 : x
  2. Step 2: Convert to fraction form
    7,229.48/9,972.42 = 4,433/x
  3. Step 3: Cross multiply
    7,229.48x = 9,972.42 × 4,433
  4. Step 4: Simplify right side
    7,229.48x = 44,207,737.86
  5. Step 5: Solve for x
    x = 44,207,737.86/7,229.48
  6. Step 6: Final answer
    x = 6,114.93

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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.