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Finding the Fourth Proportional to 6,486.57, 9,651.96 and 6,464.70

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Solution

The fourth proportional to 6,486.57, 9,651.96 and 6,464.70 is: 9,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.57 : 9,651.96 = 6,464.70 : x
  2. Step 2: Convert to fraction form
    6,486.57/9,651.96 = 6,464.70/x
  3. Step 3: Cross multiply
    6,486.57x = 9,651.96 × 6,464.70
  4. Step 4: Simplify right side
    6,486.57x = 62,397,025.81
  5. Step 5: Solve for x
    x = 62,397,025.81/6,486.57
  6. Step 6: Final answer
    x = 9,619.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.