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Finding the Fourth Proportional to 9,738.74, 13,438.49 and 5,489.70

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Solution

The fourth proportional to 9,738.74, 13,438.49 and 5,489.70 is: 7,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.74 : 13,438.49 = 5,489.70 : x
  2. Step 2: Convert to fraction form
    9,738.74/13,438.49 = 5,489.70/x
  3. Step 3: Cross multiply
    9,738.74x = 13,438.49 × 5,489.70
  4. Step 4: Simplify right side
    9,738.74x = 73,773,251.10
  5. Step 5: Solve for x
    x = 73,773,251.10/9,738.74
  6. Step 6: Final answer
    x = 7,575.24

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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.