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Finding the Fourth Proportional to 9,764.92, 13,475.78 and 5,515.20

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Solution

The fourth proportional to 9,764.92, 13,475.78 and 5,515.20 is: 7,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.92 : 13,475.78 = 5,515.20 : x
  2. Step 2: Convert to fraction form
    9,764.92/13,475.78 = 5,515.20/x
  3. Step 3: Cross multiply
    9,764.92x = 13,475.78 × 5,515.20
  4. Step 4: Simplify right side
    9,764.92x = 74,321,621.86
  5. Step 5: Solve for x
    x = 74,321,621.86/9,764.92
  6. Step 6: Final answer
    x = 7,611.08

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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.