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Finding the Fourth Proportional to 9,306.30, 12,842.75 and 5,057.39

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Solution

The fourth proportional to 9,306.30, 12,842.75 and 5,057.39 is: 6,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.30 : 12,842.75 = 5,057.39 : x
  2. Step 2: Convert to fraction form
    9,306.30/12,842.75 = 5,057.39/x
  3. Step 3: Cross multiply
    9,306.30x = 12,842.75 × 5,057.39
  4. Step 4: Simplify right side
    9,306.30x = 64,950,802.24
  5. Step 5: Solve for x
    x = 64,950,802.24/9,306.30
  6. Step 6: Final answer
    x = 6,979.23

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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.