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Finding the Fourth Proportional to 9,747.12, 13,449.06 and 5,768.76

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Solution

The fourth proportional to 9,747.12, 13,449.06 and 5,768.76 is: 7,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.12 : 13,449.06 = 5,768.76 : x
  2. Step 2: Convert to fraction form
    9,747.12/13,449.06 = 5,768.76/x
  3. Step 3: Cross multiply
    9,747.12x = 13,449.06 × 5,768.76
  4. Step 4: Simplify right side
    9,747.12x = 77,584,399.37
  5. Step 5: Solve for x
    x = 77,584,399.37/9,747.12
  6. Step 6: Final answer
    x = 7,959.73

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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.