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Finding the Fourth Proportional to 6,949.96, 9,594.42 and 4,723.56

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Solution

The fourth proportional to 6,949.96, 9,594.42 and 4,723.56 is: 6,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.96 : 9,594.42 = 4,723.56 : x
  2. Step 2: Convert to fraction form
    6,949.96/9,594.42 = 4,723.56/x
  3. Step 3: Cross multiply
    6,949.96x = 9,594.42 × 4,723.56
  4. Step 4: Simplify right side
    6,949.96x = 45,319,818.54
  5. Step 5: Solve for x
    x = 45,319,818.54/6,949.96
  6. Step 6: Final answer
    x = 6,520.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.