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Finding the Fourth Proportional to 6,464.26, 9,697.38 and 2,766.50

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Solution

The fourth proportional to 6,464.26, 9,697.38 and 2,766.50 is: 4,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.26 : 9,697.38 = 2,766.50 : x
  2. Step 2: Convert to fraction form
    6,464.26/9,697.38 = 2,766.50/x
  3. Step 3: Cross multiply
    6,464.26x = 9,697.38 × 2,766.50
  4. Step 4: Simplify right side
    6,464.26x = 26,827,801.77
  5. Step 5: Solve for x
    x = 26,827,801.77/6,464.26
  6. Step 6: Final answer
    x = 4,150.17

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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.