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Finding the Fourth Proportional to 9,142.76, 13,716.30 and 4,759.22

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Solution

The fourth proportional to 9,142.76, 13,716.30 and 4,759.22 is: 7,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.76 : 13,716.30 = 4,759.22 : x
  2. Step 2: Convert to fraction form
    9,142.76/13,716.30 = 4,759.22/x
  3. Step 3: Cross multiply
    9,142.76x = 13,716.30 × 4,759.22
  4. Step 4: Simplify right side
    9,142.76x = 65,278,889.29
  5. Step 5: Solve for x
    x = 65,278,889.29/9,142.76
  6. Step 6: Final answer
    x = 7,139.95

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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.