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Finding the Fourth Proportional to 6,089.68, 9,135.60 and 2,141.20

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Solution

The fourth proportional to 6,089.68, 9,135.60 and 2,141.20 is: 3,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.68 : 9,135.60 = 2,141.20 : x
  2. Step 2: Convert to fraction form
    6,089.68/9,135.60 = 2,141.20/x
  3. Step 3: Cross multiply
    6,089.68x = 9,135.60 × 2,141.20
  4. Step 4: Simplify right side
    6,089.68x = 19,561,146.72
  5. Step 5: Solve for x
    x = 19,561,146.72/6,089.68
  6. Step 6: Final answer
    x = 3,212.18

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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.