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Finding the Fourth Proportional to 6,348.84, 9,524.26 and 1,965.26

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Solution

The fourth proportional to 6,348.84, 9,524.26 and 1,965.26 is: 2,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.84 : 9,524.26 = 1,965.26 : x
  2. Step 2: Convert to fraction form
    6,348.84/9,524.26 = 1,965.26/x
  3. Step 3: Cross multiply
    6,348.84x = 9,524.26 × 1,965.26
  4. Step 4: Simplify right side
    6,348.84x = 18,717,647.21
  5. Step 5: Solve for x
    x = 18,717,647.21/6,348.84
  6. Step 6: Final answer
    x = 2,948.20

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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.