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Finding the Fourth Proportional to 9,306.99, 12,843.77 and 5,058.09

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Solution

The fourth proportional to 9,306.99, 12,843.77 and 5,058.09 is: 6,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.99 : 12,843.77 = 5,058.09 : x
  2. Step 2: Convert to fraction form
    9,306.99/12,843.77 = 5,058.09/x
  3. Step 3: Cross multiply
    9,306.99x = 12,843.77 × 5,058.09
  4. Step 4: Simplify right side
    9,306.99x = 64,964,919.31
  5. Step 5: Solve for x
    x = 64,964,919.31/9,306.99
  6. Step 6: Final answer
    x = 6,980.23

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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.