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Finding the Fourth Proportional to 9,640.38, 13,311.27 and 7,398.71

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Solution

The fourth proportional to 9,640.38, 13,311.27 and 7,398.71 is: 10,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.38 : 13,311.27 = 7,398.71 : x
  2. Step 2: Convert to fraction form
    9,640.38/13,311.27 = 7,398.71/x
  3. Step 3: Cross multiply
    9,640.38x = 13,311.27 × 7,398.71
  4. Step 4: Simplify right side
    9,640.38x = 98,486,226.46
  5. Step 5: Solve for x
    x = 98,486,226.46/9,640.38
  6. Step 6: Final answer
    x = 10,216.01

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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.