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Finding the Fourth Proportional to 9,309.30, 13,967.28 and 5,794.29

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Solution

The fourth proportional to 9,309.30, 13,967.28 and 5,794.29 is: 8,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.30 : 13,967.28 = 5,794.29 : x
  2. Step 2: Convert to fraction form
    9,309.30/13,967.28 = 5,794.29/x
  3. Step 3: Cross multiply
    9,309.30x = 13,967.28 × 5,794.29
  4. Step 4: Simplify right side
    9,309.30x = 80,930,470.83
  5. Step 5: Solve for x
    x = 80,930,470.83/9,309.30
  6. Step 6: Final answer
    x = 8,693.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.