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Finding the Fourth Proportional to 9,306.13, 12,842.46 and 5,114.38

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Solution

The fourth proportional to 9,306.13, 12,842.46 and 5,114.38 is: 7,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.13 : 12,842.46 = 5,114.38 : x
  2. Step 2: Convert to fraction form
    9,306.13/12,842.46 = 5,114.38/x
  3. Step 3: Cross multiply
    9,306.13x = 12,842.46 × 5,114.38
  4. Step 4: Simplify right side
    9,306.13x = 65,681,130.79
  5. Step 5: Solve for x
    x = 65,681,130.79/9,306.13
  6. Step 6: Final answer
    x = 7,057.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.