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Finding the Fourth Proportional to 9,764.40, 13,474.91 and 5,288.14

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Solution

The fourth proportional to 9,764.40, 13,474.91 and 5,288.14 is: 7,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.40 : 13,474.91 = 5,288.14 : x
  2. Step 2: Convert to fraction form
    9,764.40/13,474.91 = 5,288.14/x
  3. Step 3: Cross multiply
    9,764.40x = 13,474.91 × 5,288.14
  4. Step 4: Simplify right side
    9,764.40x = 71,257,150.44
  5. Step 5: Solve for x
    x = 71,257,150.44/9,764.40
  6. Step 6: Final answer
    x = 7,297.65

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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.