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Finding the Fourth Proportional to 9,634.91, 13,297.13 and 5,655.93

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Solution

The fourth proportional to 9,634.91, 13,297.13 and 5,655.93 is: 7,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.91 : 13,297.13 = 5,655.93 : x
  2. Step 2: Convert to fraction form
    9,634.91/13,297.13 = 5,655.93/x
  3. Step 3: Cross multiply
    9,634.91x = 13,297.13 × 5,655.93
  4. Step 4: Simplify right side
    9,634.91x = 75,207,608.20
  5. Step 5: Solve for x
    x = 75,207,608.20/9,634.91
  6. Step 6: Final answer
    x = 7,805.74

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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.