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Finding the Fourth Proportional to 9,956.73, 13,740.19 and 5,480.38

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Solution

The fourth proportional to 9,956.73, 13,740.19 and 5,480.38 is: 7,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.73 : 13,740.19 = 5,480.38 : x
  2. Step 2: Convert to fraction form
    9,956.73/13,740.19 = 5,480.38/x
  3. Step 3: Cross multiply
    9,956.73x = 13,740.19 × 5,480.38
  4. Step 4: Simplify right side
    9,956.73x = 75,301,465.95
  5. Step 5: Solve for x
    x = 75,301,465.95/9,956.73
  6. Step 6: Final answer
    x = 7,562.87

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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.