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Finding the Fourth Proportional to 9,107.33, 12,568.33 and 5,074.42

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Solution

The fourth proportional to 9,107.33, 12,568.33 and 5,074.42 is: 7,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.33 : 12,568.33 = 5,074.42 : x
  2. Step 2: Convert to fraction form
    9,107.33/12,568.33 = 5,074.42/x
  3. Step 3: Cross multiply
    9,107.33x = 12,568.33 × 5,074.42
  4. Step 4: Simplify right side
    9,107.33x = 63,776,991.17
  5. Step 5: Solve for x
    x = 63,776,991.17/9,107.33
  6. Step 6: Final answer
    x = 7,002.82

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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.