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Finding the Fourth Proportional to 9,949.74, 14,926.92 and 3,709.77

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Solution

The fourth proportional to 9,949.74, 14,926.92 and 3,709.77 is: 5,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.74 : 14,926.92 = 3,709.77 : x
  2. Step 2: Convert to fraction form
    9,949.74/14,926.92 = 3,709.77/x
  3. Step 3: Cross multiply
    9,949.74x = 14,926.92 × 3,709.77
  4. Step 4: Simplify right side
    9,949.74x = 55,375,440.01
  5. Step 5: Solve for x
    x = 55,375,440.01/9,949.74
  6. Step 6: Final answer
    x = 5,565.52

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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.