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Finding the Fourth Proportional to 9,191.50, 13,785.38 and 2,615.92

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Solution

The fourth proportional to 9,191.50, 13,785.38 and 2,615.92 is: 3,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.50 : 13,785.38 = 2,615.92 : x
  2. Step 2: Convert to fraction form
    9,191.50/13,785.38 = 2,615.92/x
  3. Step 3: Cross multiply
    9,191.50x = 13,785.38 × 2,615.92
  4. Step 4: Simplify right side
    9,191.50x = 36,061,451.25
  5. Step 5: Solve for x
    x = 36,061,451.25/9,191.50
  6. Step 6: Final answer
    x = 3,923.35

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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.