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Finding the Fourth Proportional to 6,089.43, 9,127.22 and 2,577.24

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Solution

The fourth proportional to 6,089.43, 9,127.22 and 2,577.24 is: 3,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.43 : 9,127.22 = 2,577.24 : x
  2. Step 2: Convert to fraction form
    6,089.43/9,127.22 = 2,577.24/x
  3. Step 3: Cross multiply
    6,089.43x = 9,127.22 × 2,577.24
  4. Step 4: Simplify right side
    6,089.43x = 23,523,036.47
  5. Step 5: Solve for x
    x = 23,523,036.47/6,089.43
  6. Step 6: Final answer
    x = 3,862.93

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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.