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Finding the Fourth Proportional to 9,138.60, 13,733.52 and 5,441.40

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Solution

The fourth proportional to 9,138.60, 13,733.52 and 5,441.40 is: 8,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.60 : 13,733.52 = 5,441.40 : x
  2. Step 2: Convert to fraction form
    9,138.60/13,733.52 = 5,441.40/x
  3. Step 3: Cross multiply
    9,138.60x = 13,733.52 × 5,441.40
  4. Step 4: Simplify right side
    9,138.60x = 74,729,575.73
  5. Step 5: Solve for x
    x = 74,729,575.73/9,138.60
  6. Step 6: Final answer
    x = 8,177.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.