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Finding the Fourth Proportional to 6,351.74, 9,524.97 and 2,402.31

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Solution

The fourth proportional to 6,351.74, 9,524.97 and 2,402.31 is: 3,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.74 : 9,524.97 = 2,402.31 : x
  2. Step 2: Convert to fraction form
    6,351.74/9,524.97 = 2,402.31/x
  3. Step 3: Cross multiply
    6,351.74x = 9,524.97 × 2,402.31
  4. Step 4: Simplify right side
    6,351.74x = 22,881,930.68
  5. Step 5: Solve for x
    x = 22,881,930.68/6,351.74
  6. Step 6: Final answer
    x = 3,602.47

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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.