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Finding the Fourth Proportional to 9,727.31, 13,477.90 and 9,517.11

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Solution

The fourth proportional to 9,727.31, 13,477.90 and 9,517.11 is: 13,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.31 : 13,477.90 = 9,517.11 : x
  2. Step 2: Convert to fraction form
    9,727.31/13,477.90 = 9,517.11/x
  3. Step 3: Cross multiply
    9,727.31x = 13,477.90 × 9,517.11
  4. Step 4: Simplify right side
    9,727.31x = 128,270,642.98
  5. Step 5: Solve for x
    x = 128,270,642.98/9,727.31
  6. Step 6: Final answer
    x = 13,186.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.