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Finding the Fourth Proportional to 9,170.67, 12,655.71 and 5,191.95

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Solution

The fourth proportional to 9,170.67, 12,655.71 and 5,191.95 is: 7,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.67 : 12,655.71 = 5,191.95 : x
  2. Step 2: Convert to fraction form
    9,170.67/12,655.71 = 5,191.95/x
  3. Step 3: Cross multiply
    9,170.67x = 12,655.71 × 5,191.95
  4. Step 4: Simplify right side
    9,170.67x = 65,707,813.53
  5. Step 5: Solve for x
    x = 65,707,813.53/9,170.67
  6. Step 6: Final answer
    x = 7,165.00

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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.