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Finding the Fourth Proportional to 9,627.87, 14,449.33 and 4,947.69

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Solution

The fourth proportional to 9,627.87, 14,449.33 and 4,947.69 is: 7,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.87 : 14,449.33 = 4,947.69 : x
  2. Step 2: Convert to fraction form
    9,627.87/14,449.33 = 4,947.69/x
  3. Step 3: Cross multiply
    9,627.87x = 14,449.33 × 4,947.69
  4. Step 4: Simplify right side
    9,627.87x = 71,490,865.92
  5. Step 5: Solve for x
    x = 71,490,865.92/9,627.87
  6. Step 6: Final answer
    x = 7,425.41

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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.