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Finding the Fourth Proportional to 6,085.57, 9,124.31 and 2,189.47

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Solution

The fourth proportional to 6,085.57, 9,124.31 and 2,189.47 is: 3,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.57 : 9,124.31 = 2,189.47 : x
  2. Step 2: Convert to fraction form
    6,085.57/9,124.31 = 2,189.47/x
  3. Step 3: Cross multiply
    6,085.57x = 9,124.31 × 2,189.47
  4. Step 4: Simplify right side
    6,085.57x = 19,977,403.02
  5. Step 5: Solve for x
    x = 19,977,403.02/6,085.57
  6. Step 6: Final answer
    x = 3,282.75

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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.