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Finding the Fourth Proportional to 6,092.85, 9,139.50 and 2,975.46

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Solution

The fourth proportional to 6,092.85, 9,139.50 and 2,975.46 is: 4,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.85 : 9,139.50 = 2,975.46 : x
  2. Step 2: Convert to fraction form
    6,092.85/9,139.50 = 2,975.46/x
  3. Step 3: Cross multiply
    6,092.85x = 9,139.50 × 2,975.46
  4. Step 4: Simplify right side
    6,092.85x = 27,194,195.55
  5. Step 5: Solve for x
    x = 27,194,195.55/6,092.85
  6. Step 6: Final answer
    x = 4,463.30

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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.