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Finding the Fourth Proportional to 6,194.72, 9,293.16 and 3,074.92

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Solution

The fourth proportional to 6,194.72, 9,293.16 and 3,074.92 is: 4,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.72 : 9,293.16 = 3,074.92 : x
  2. Step 2: Convert to fraction form
    6,194.72/9,293.16 = 3,074.92/x
  3. Step 3: Cross multiply
    6,194.72x = 9,293.16 × 3,074.92
  4. Step 4: Simplify right side
    6,194.72x = 28,575,723.55
  5. Step 5: Solve for x
    x = 28,575,723.55/6,194.72
  6. Step 6: Final answer
    x = 4,612.92

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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.