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Finding the Fourth Proportional to 6,214.93, 9,322.35 and 2,517.10

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Solution

The fourth proportional to 6,214.93, 9,322.35 and 2,517.10 is: 3,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.93 : 9,322.35 = 2,517.10 : x
  2. Step 2: Convert to fraction form
    6,214.93/9,322.35 = 2,517.10/x
  3. Step 3: Cross multiply
    6,214.93x = 9,322.35 × 2,517.10
  4. Step 4: Simplify right side
    6,214.93x = 23,465,287.19
  5. Step 5: Solve for x
    x = 23,465,287.19/6,214.93
  6. Step 6: Final answer
    x = 3,775.63

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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.