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Finding the Fourth Proportional to 9,249.16, 12,763.86 and 5,711.56

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Solution

The fourth proportional to 9,249.16, 12,763.86 and 5,711.56 is: 7,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.16 : 12,763.86 = 5,711.56 : x
  2. Step 2: Convert to fraction form
    9,249.16/12,763.86 = 5,711.56/x
  3. Step 3: Cross multiply
    9,249.16x = 12,763.86 × 5,711.56
  4. Step 4: Simplify right side
    9,249.16x = 72,901,552.22
  5. Step 5: Solve for x
    x = 72,901,552.22/9,249.16
  6. Step 6: Final answer
    x = 7,881.96

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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.