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Finding the Fourth Proportional to 6,132.85, 9,199.50 and 1,972.30

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Solution

The fourth proportional to 6,132.85, 9,199.50 and 1,972.30 is: 2,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.85 : 9,199.50 = 1,972.30 : x
  2. Step 2: Convert to fraction form
    6,132.85/9,199.50 = 1,972.30/x
  3. Step 3: Cross multiply
    6,132.85x = 9,199.50 × 1,972.30
  4. Step 4: Simplify right side
    6,132.85x = 18,144,173.85
  5. Step 5: Solve for x
    x = 18,144,173.85/6,132.85
  6. Step 6: Final answer
    x = 2,958.52

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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.