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Finding the Fourth Proportional to 9,107.24, 12,568.03 and 5,128.41

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Solution

The fourth proportional to 9,107.24, 12,568.03 and 5,128.41 is: 7,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.24 : 12,568.03 = 5,128.41 : x
  2. Step 2: Convert to fraction form
    9,107.24/12,568.03 = 5,128.41/x
  3. Step 3: Cross multiply
    9,107.24x = 12,568.03 × 5,128.41
  4. Step 4: Simplify right side
    9,107.24x = 64,454,045.04
  5. Step 5: Solve for x
    x = 64,454,045.04/9,107.24
  6. Step 6: Final answer
    x = 7,077.24

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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.