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Finding the Fourth Proportional to 9,107.67, 13,661.24 and 2,867.70

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Solution

The fourth proportional to 9,107.67, 13,661.24 and 2,867.70 is: 4,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.67 : 13,661.24 = 2,867.70 : x
  2. Step 2: Convert to fraction form
    9,107.67/13,661.24 = 2,867.70/x
  3. Step 3: Cross multiply
    9,107.67x = 13,661.24 × 2,867.70
  4. Step 4: Simplify right side
    9,107.67x = 39,176,323.61
  5. Step 5: Solve for x
    x = 39,176,323.61/9,107.67
  6. Step 6: Final answer
    x = 4,301.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.