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Finding the Fourth Proportional to 6,425.38, 9,637.26 and 2,265.22

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Solution

The fourth proportional to 6,425.38, 9,637.26 and 2,265.22 is: 3,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.38 : 9,637.26 = 2,265.22 : x
  2. Step 2: Convert to fraction form
    6,425.38/9,637.26 = 2,265.22/x
  3. Step 3: Cross multiply
    6,425.38x = 9,637.26 × 2,265.22
  4. Step 4: Simplify right side
    6,425.38x = 21,830,514.10
  5. Step 5: Solve for x
    x = 21,830,514.10/6,425.38
  6. Step 6: Final answer
    x = 3,397.54

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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.