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Finding the Fourth Proportional to 9,107.60, 12,568.24 and 5,570.80

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Solution

The fourth proportional to 9,107.60, 12,568.24 and 5,570.80 is: 7,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.60 : 12,568.24 = 5,570.80 : x
  2. Step 2: Convert to fraction form
    9,107.60/12,568.24 = 5,570.80/x
  3. Step 3: Cross multiply
    9,107.60x = 12,568.24 × 5,570.80
  4. Step 4: Simplify right side
    9,107.60x = 70,015,151.39
  5. Step 5: Solve for x
    x = 70,015,151.39/9,107.60
  6. Step 6: Final answer
    x = 7,687.55

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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.