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Finding the Fourth Proportional to 6,965.13, 9,613.29 and 4,727.73

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Solution

The fourth proportional to 6,965.13, 9,613.29 and 4,727.73 is: 6,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.13 : 9,613.29 = 4,727.73 : x
  2. Step 2: Convert to fraction form
    6,965.13/9,613.29 = 4,727.73/x
  3. Step 3: Cross multiply
    6,965.13x = 9,613.29 × 4,727.73
  4. Step 4: Simplify right side
    6,965.13x = 45,449,021.21
  5. Step 5: Solve for x
    x = 45,449,021.21/6,965.13
  6. Step 6: Final answer
    x = 6,525.23

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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.