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Finding the Fourth Proportional to 9,908.12, 13,691.33 and 7,214.66

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Solution

The fourth proportional to 9,908.12, 13,691.33 and 7,214.66 is: 9,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.12 : 13,691.33 = 7,214.66 : x
  2. Step 2: Convert to fraction form
    9,908.12/13,691.33 = 7,214.66/x
  3. Step 3: Cross multiply
    9,908.12x = 13,691.33 × 7,214.66
  4. Step 4: Simplify right side
    9,908.12x = 98,778,343.16
  5. Step 5: Solve for x
    x = 98,778,343.16/9,908.12
  6. Step 6: Final answer
    x = 9,969.43

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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.