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Finding the Fourth Proportional to 9,170.38, 12,655.23 and 5,191.41

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Solution

The fourth proportional to 9,170.38, 12,655.23 and 5,191.41 is: 7,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.38 : 12,655.23 = 5,191.41 : x
  2. Step 2: Convert to fraction form
    9,170.38/12,655.23 = 5,191.41/x
  3. Step 3: Cross multiply
    9,170.38x = 12,655.23 × 5,191.41
  4. Step 4: Simplify right side
    9,170.38x = 65,698,398.34
  5. Step 5: Solve for x
    x = 65,698,398.34/9,170.38
  6. Step 6: Final answer
    x = 7,164.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.