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Finding the Fourth Proportional to 9,191.62, 12,686.69 and 5,215.06

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Solution

The fourth proportional to 9,191.62, 12,686.69 and 5,215.06 is: 7,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.62 : 12,686.69 = 5,215.06 : x
  2. Step 2: Convert to fraction form
    9,191.62/12,686.69 = 5,215.06/x
  3. Step 3: Cross multiply
    9,191.62x = 12,686.69 × 5,215.06
  4. Step 4: Simplify right side
    9,191.62x = 66,161,849.55
  5. Step 5: Solve for x
    x = 66,161,849.55/9,191.62
  6. Step 6: Final answer
    x = 7,198.06

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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.