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Finding the Fourth Proportional to 9,170.42, 12,655.05 and 5,191.43

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Solution

The fourth proportional to 9,170.42, 12,655.05 and 5,191.43 is: 7,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.42 : 12,655.05 = 5,191.43 : x
  2. Step 2: Convert to fraction form
    9,170.42/12,655.05 = 5,191.43/x
  3. Step 3: Cross multiply
    9,170.42x = 12,655.05 × 5,191.43
  4. Step 4: Simplify right side
    9,170.42x = 65,697,742.95
  5. Step 5: Solve for x
    x = 65,697,742.95/9,170.42
  6. Step 6: Final answer
    x = 7,164.10

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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.