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Finding the Fourth Proportional to 9,306.05, 12,842.20 and 5,114.21

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Solution

The fourth proportional to 9,306.05, 12,842.20 and 5,114.21 is: 7,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.05 : 12,842.20 = 5,114.21 : x
  2. Step 2: Convert to fraction form
    9,306.05/12,842.20 = 5,114.21/x
  3. Step 3: Cross multiply
    9,306.05x = 12,842.20 × 5,114.21
  4. Step 4: Simplify right side
    9,306.05x = 65,677,707.66
  5. Step 5: Solve for x
    x = 65,677,707.66/9,306.05
  6. Step 6: Final answer
    x = 7,057.53

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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.