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Finding the Fourth Proportional to 6,454.86, 9,680.66 and 2,504.76

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Solution

The fourth proportional to 6,454.86, 9,680.66 and 2,504.76 is: 3,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.86 : 9,680.66 = 2,504.76 : x
  2. Step 2: Convert to fraction form
    6,454.86/9,680.66 = 2,504.76/x
  3. Step 3: Cross multiply
    6,454.86x = 9,680.66 × 2,504.76
  4. Step 4: Simplify right side
    6,454.86x = 24,247,717.42
  5. Step 5: Solve for x
    x = 24,247,717.42/6,454.86
  6. Step 6: Final answer
    x = 3,756.51

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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.