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Finding the Fourth Proportional to 7,056.38, 9,737.15 and 3,912.30

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Solution

The fourth proportional to 7,056.38, 9,737.15 and 3,912.30 is: 5,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.38 : 9,737.15 = 3,912.30 : x
  2. Step 2: Convert to fraction form
    7,056.38/9,737.15 = 3,912.30/x
  3. Step 3: Cross multiply
    7,056.38x = 9,737.15 × 3,912.30
  4. Step 4: Simplify right side
    7,056.38x = 38,094,651.95
  5. Step 5: Solve for x
    x = 38,094,651.95/7,056.38
  6. Step 6: Final answer
    x = 5,398.61

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Why These Related Problems?

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