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Finding the Fourth Proportional to 9,764.42, 13,474.88 and 5,288.22

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Solution

The fourth proportional to 9,764.42, 13,474.88 and 5,288.22 is: 7,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.42 : 13,474.88 = 5,288.22 : x
  2. Step 2: Convert to fraction form
    9,764.42/13,474.88 = 5,288.22/x
  3. Step 3: Cross multiply
    9,764.42x = 13,474.88 × 5,288.22
  4. Step 4: Simplify right side
    9,764.42x = 71,258,129.91
  5. Step 5: Solve for x
    x = 71,258,129.91/9,764.42
  6. Step 6: Final answer
    x = 7,297.73

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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.