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Finding the Fourth Proportional to 6,359.16, 9,540.36 and 2,464.68

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Solution

The fourth proportional to 6,359.16, 9,540.36 and 2,464.68 is: 3,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.16 : 9,540.36 = 2,464.68 : x
  2. Step 2: Convert to fraction form
    6,359.16/9,540.36 = 2,464.68/x
  3. Step 3: Cross multiply
    6,359.16x = 9,540.36 × 2,464.68
  4. Step 4: Simplify right side
    6,359.16x = 23,513,934.48
  5. Step 5: Solve for x
    x = 23,513,934.48/6,359.16
  6. Step 6: Final answer
    x = 3,697.65

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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.