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Finding the Fourth Proportional to 6,089.18, 9,133.56 and 2,578.22

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Solution

The fourth proportional to 6,089.18, 9,133.56 and 2,578.22 is: 3,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.18 : 9,133.56 = 2,578.22 : x
  2. Step 2: Convert to fraction form
    6,089.18/9,133.56 = 2,578.22/x
  3. Step 3: Cross multiply
    6,089.18x = 9,133.56 × 2,578.22
  4. Step 4: Simplify right side
    6,089.18x = 23,548,327.06
  5. Step 5: Solve for x
    x = 23,548,327.06/6,089.18
  6. Step 6: Final answer
    x = 3,867.24

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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.