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Finding the Fourth Proportional to 6,086.72, 9,131.13 and 1,926.66

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Solution

The fourth proportional to 6,086.72, 9,131.13 and 1,926.66 is: 2,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.72 : 9,131.13 = 1,926.66 : x
  2. Step 2: Convert to fraction form
    6,086.72/9,131.13 = 1,926.66/x
  3. Step 3: Cross multiply
    6,086.72x = 9,131.13 × 1,926.66
  4. Step 4: Simplify right side
    6,086.72x = 17,592,582.93
  5. Step 5: Solve for x
    x = 17,592,582.93/6,086.72
  6. Step 6: Final answer
    x = 2,890.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.