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Finding the Fourth Proportional to 9,911.92, 14,865.44 and 4,650.56

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Solution

The fourth proportional to 9,911.92, 14,865.44 and 4,650.56 is: 6,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.92 : 14,865.44 = 4,650.56 : x
  2. Step 2: Convert to fraction form
    9,911.92/14,865.44 = 4,650.56/x
  3. Step 3: Cross multiply
    9,911.92x = 14,865.44 × 4,650.56
  4. Step 4: Simplify right side
    9,911.92x = 69,132,620.65
  5. Step 5: Solve for x
    x = 69,132,620.65/9,911.92
  6. Step 6: Final answer
    x = 6,974.70

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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.