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Finding the Fourth Proportional to 9,955.34, 13,738.70 and 5,479.42

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Solution

The fourth proportional to 9,955.34, 13,738.70 and 5,479.42 is: 7,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.34 : 13,738.70 = 5,479.42 : x
  2. Step 2: Convert to fraction form
    9,955.34/13,738.70 = 5,479.42/x
  3. Step 3: Cross multiply
    9,955.34x = 13,738.70 × 5,479.42
  4. Step 4: Simplify right side
    9,955.34x = 75,280,107.55
  5. Step 5: Solve for x
    x = 75,280,107.55/9,955.34
  6. Step 6: Final answer
    x = 7,561.78

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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.