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Finding the Fourth Proportional to 6,132.81, 9,200.76 and 1,750.26

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Solution

The fourth proportional to 6,132.81, 9,200.76 and 1,750.26 is: 2,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.81 : 9,200.76 = 1,750.26 : x
  2. Step 2: Convert to fraction form
    6,132.81/9,200.76 = 1,750.26/x
  3. Step 3: Cross multiply
    6,132.81x = 9,200.76 × 1,750.26
  4. Step 4: Simplify right side
    6,132.81x = 16,103,722.20
  5. Step 5: Solve for x
    x = 16,103,722.20/6,132.81
  6. Step 6: Final answer
    x = 2,625.83

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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.