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Finding the Fourth Proportional to 9,644.92, 14,464.50 and 3,403.76

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Solution

The fourth proportional to 9,644.92, 14,464.50 and 3,403.76 is: 5,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.92 : 14,464.50 = 3,403.76 : x
  2. Step 2: Convert to fraction form
    9,644.92/14,464.50 = 3,403.76/x
  3. Step 3: Cross multiply
    9,644.92x = 14,464.50 × 3,403.76
  4. Step 4: Simplify right side
    9,644.92x = 49,233,686.52
  5. Step 5: Solve for x
    x = 49,233,686.52/9,644.92
  6. Step 6: Final answer
    x = 5,104.62

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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.