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Finding the Fourth Proportional to 9,306.25, 12,842.63 and 5,114.77

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Solution

The fourth proportional to 9,306.25, 12,842.63 and 5,114.77 is: 7,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.25 : 12,842.63 = 5,114.77 : x
  2. Step 2: Convert to fraction form
    9,306.25/12,842.63 = 5,114.77/x
  3. Step 3: Cross multiply
    9,306.25x = 12,842.63 × 5,114.77
  4. Step 4: Simplify right side
    9,306.25x = 65,687,098.65
  5. Step 5: Solve for x
    x = 65,687,098.65/9,306.25
  6. Step 6: Final answer
    x = 7,058.39

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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.