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Finding the Fourth Proportional to 6,480.44, 9,713.28 and 5,698.94

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Solution

The fourth proportional to 6,480.44, 9,713.28 and 5,698.94 is: 8,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.44 : 9,713.28 = 5,698.94 : x
  2. Step 2: Convert to fraction form
    6,480.44/9,713.28 = 5,698.94/x
  3. Step 3: Cross multiply
    6,480.44x = 9,713.28 × 5,698.94
  4. Step 4: Simplify right side
    6,480.44x = 55,355,399.92
  5. Step 5: Solve for x
    x = 55,355,399.92/6,480.44
  6. Step 6: Final answer
    x = 8,541.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.