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Finding the Fourth Proportional to 10,742.28, 14,791.74 and 9,529.80

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Solution

The fourth proportional to 10,742.28, 14,791.74 and 9,529.80 is: 13,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.28 : 14,791.74 = 9,529.80 : x
  2. Step 2: Convert to fraction form
    10,742.28/14,791.74 = 9,529.80/x
  3. Step 3: Cross multiply
    10,742.28x = 14,791.74 × 9,529.80
  4. Step 4: Simplify right side
    10,742.28x = 140,962,323.85
  5. Step 5: Solve for x
    x = 140,962,323.85/10,742.28
  6. Step 6: Final answer
    x = 13,122.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.