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Finding the Fourth Proportional to 9,110.80, 12,568.68 and 5,757.84

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Solution

The fourth proportional to 9,110.80, 12,568.68 and 5,757.84 is: 7,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.80 : 12,568.68 = 5,757.84 : x
  2. Step 2: Convert to fraction form
    9,110.80/12,568.68 = 5,757.84/x
  3. Step 3: Cross multiply
    9,110.80x = 12,568.68 × 5,757.84
  4. Step 4: Simplify right side
    9,110.80x = 72,368,448.45
  5. Step 5: Solve for x
    x = 72,368,448.45/9,110.80
  6. Step 6: Final answer
    x = 7,943.15

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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.