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Finding the Fourth Proportional to 6,324.38, 9,482.52 and 2,629.16

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Solution

The fourth proportional to 6,324.38, 9,482.52 and 2,629.16 is: 3,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.38 : 9,482.52 = 2,629.16 : x
  2. Step 2: Convert to fraction form
    6,324.38/9,482.52 = 2,629.16/x
  3. Step 3: Cross multiply
    6,324.38x = 9,482.52 × 2,629.16
  4. Step 4: Simplify right side
    6,324.38x = 24,931,062.28
  5. Step 5: Solve for x
    x = 24,931,062.28/6,324.38
  6. Step 6: Final answer
    x = 3,942.06

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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.