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Finding the Fourth Proportional to 6,454.86, 9,682.86 and 2,506.02

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Solution

The fourth proportional to 6,454.86, 9,682.86 and 2,506.02 is: 3,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.86 : 9,682.86 = 2,506.02 : x
  2. Step 2: Convert to fraction form
    6,454.86/9,682.86 = 2,506.02/x
  3. Step 3: Cross multiply
    6,454.86x = 9,682.86 × 2,506.02
  4. Step 4: Simplify right side
    6,454.86x = 24,265,440.82
  5. Step 5: Solve for x
    x = 24,265,440.82/6,454.86
  6. Step 6: Final answer
    x = 3,759.25

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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.