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Finding the Fourth Proportional to 9,191.57, 12,684.20 and 5,103.23

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Solution

The fourth proportional to 9,191.57, 12,684.20 and 5,103.23 is: 7,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.57 : 12,684.20 = 5,103.23 : x
  2. Step 2: Convert to fraction form
    9,191.57/12,684.20 = 5,103.23/x
  3. Step 3: Cross multiply
    9,191.57x = 12,684.20 × 5,103.23
  4. Step 4: Simplify right side
    9,191.57x = 64,730,301.03
  5. Step 5: Solve for x
    x = 64,730,301.03/9,191.57
  6. Step 6: Final answer
    x = 7,042.36

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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.