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Finding the Fourth Proportional to 6,151.34, 9,226.89 and 3,686.84

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Solution

The fourth proportional to 6,151.34, 9,226.89 and 3,686.84 is: 5,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.34 : 9,226.89 = 3,686.84 : x
  2. Step 2: Convert to fraction form
    6,151.34/9,226.89 = 3,686.84/x
  3. Step 3: Cross multiply
    6,151.34x = 9,226.89 × 3,686.84
  4. Step 4: Simplify right side
    6,151.34x = 34,018,067.13
  5. Step 5: Solve for x
    x = 34,018,067.13/6,151.34
  6. Step 6: Final answer
    x = 5,530.19

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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.