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Finding the Fourth Proportional to 9,747.13, 13,450.22 and 5,767.54

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Solution

The fourth proportional to 9,747.13, 13,450.22 and 5,767.54 is: 7,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.13 : 13,450.22 = 5,767.54 : x
  2. Step 2: Convert to fraction form
    9,747.13/13,450.22 = 5,767.54/x
  3. Step 3: Cross multiply
    9,747.13x = 13,450.22 × 5,767.54
  4. Step 4: Simplify right side
    9,747.13x = 77,574,653.02
  5. Step 5: Solve for x
    x = 77,574,653.02/9,747.13
  6. Step 6: Final answer
    x = 7,958.72

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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.