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Finding the Fourth Proportional to 6,454.36, 9,682.56 and 2,756.61

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Solution

The fourth proportional to 6,454.36, 9,682.56 and 2,756.61 is: 4,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.36 : 9,682.56 = 2,756.61 : x
  2. Step 2: Convert to fraction form
    6,454.36/9,682.56 = 2,756.61/x
  3. Step 3: Cross multiply
    6,454.36x = 9,682.56 × 2,756.61
  4. Step 4: Simplify right side
    6,454.36x = 26,691,027.94
  5. Step 5: Solve for x
    x = 26,691,027.94/6,454.36
  6. Step 6: Final answer
    x = 4,135.35

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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.