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Finding the Fourth Proportional to 6,386.62, 9,585.74 and 3,268.78

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Solution

The fourth proportional to 6,386.62, 9,585.74 and 3,268.78 is: 4,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.62 : 9,585.74 = 3,268.78 : x
  2. Step 2: Convert to fraction form
    6,386.62/9,585.74 = 3,268.78/x
  3. Step 3: Cross multiply
    6,386.62x = 9,585.74 × 3,268.78
  4. Step 4: Simplify right side
    6,386.62x = 31,333,675.20
  5. Step 5: Solve for x
    x = 31,333,675.20/6,386.62
  6. Step 6: Final answer
    x = 4,906.14

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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.