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Finding the Fourth Proportional to 6,464.50, 9,700.39 and 2,569.21

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Solution

The fourth proportional to 6,464.50, 9,700.39 and 2,569.21 is: 3,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.50 : 9,700.39 = 2,569.21 : x
  2. Step 2: Convert to fraction form
    6,464.50/9,700.39 = 2,569.21/x
  3. Step 3: Cross multiply
    6,464.50x = 9,700.39 × 2,569.21
  4. Step 4: Simplify right side
    6,464.50x = 24,922,290.49
  5. Step 5: Solve for x
    x = 24,922,290.49/6,464.50
  6. Step 6: Final answer
    x = 3,855.26

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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.