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Finding the Fourth Proportional to 9,764.54, 13,475.08 and 5,288.33

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Solution

The fourth proportional to 9,764.54, 13,475.08 and 5,288.33 is: 7,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.54 : 13,475.08 = 5,288.33 : x
  2. Step 2: Convert to fraction form
    9,764.54/13,475.08 = 5,288.33/x
  3. Step 3: Cross multiply
    9,764.54x = 13,475.08 × 5,288.33
  4. Step 4: Simplify right side
    9,764.54x = 71,260,604.57
  5. Step 5: Solve for x
    x = 71,260,604.57/9,764.54
  6. Step 6: Final answer
    x = 7,297.90

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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.