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Finding the Fourth Proportional to 6,348.38, 9,522.38 and 2,837.48

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Solution

The fourth proportional to 6,348.38, 9,522.38 and 2,837.48 is: 4,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.38 : 9,522.38 = 2,837.48 : x
  2. Step 2: Convert to fraction form
    6,348.38/9,522.38 = 2,837.48/x
  3. Step 3: Cross multiply
    6,348.38x = 9,522.38 × 2,837.48
  4. Step 4: Simplify right side
    6,348.38x = 27,019,522.28
  5. Step 5: Solve for x
    x = 27,019,522.28/6,348.38
  6. Step 6: Final answer
    x = 4,256.13

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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.