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Finding the Fourth Proportional to 9,634.97, 13,297.50 and 5,656.43

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Solution

The fourth proportional to 9,634.97, 13,297.50 and 5,656.43 is: 7,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.97 : 13,297.50 = 5,656.43 : x
  2. Step 2: Convert to fraction form
    9,634.97/13,297.50 = 5,656.43/x
  3. Step 3: Cross multiply
    9,634.97x = 13,297.50 × 5,656.43
  4. Step 4: Simplify right side
    9,634.97x = 75,216,377.93
  5. Step 5: Solve for x
    x = 75,216,377.93/9,634.97
  6. Step 6: Final answer
    x = 7,806.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.