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Finding the Fourth Proportional to 6,092.10, 9,143.55 and 5,217.30

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Solution

The fourth proportional to 6,092.10, 9,143.55 and 5,217.30 is: 7,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.10 : 9,143.55 = 5,217.30 : x
  2. Step 2: Convert to fraction form
    6,092.10/9,143.55 = 5,217.30/x
  3. Step 3: Cross multiply
    6,092.10x = 9,143.55 × 5,217.30
  4. Step 4: Simplify right side
    6,092.10x = 47,704,643.42
  5. Step 5: Solve for x
    x = 47,704,643.42/6,092.10
  6. Step 6: Final answer
    x = 7,830.57

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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.