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Finding the Fourth Proportional to 6,535.36, 9,797.62 and 3,250.74

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Solution

The fourth proportional to 6,535.36, 9,797.62 and 3,250.74 is: 4,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.36 : 9,797.62 = 3,250.74 : x
  2. Step 2: Convert to fraction form
    6,535.36/9,797.62 = 3,250.74/x
  3. Step 3: Cross multiply
    6,535.36x = 9,797.62 × 3,250.74
  4. Step 4: Simplify right side
    6,535.36x = 31,849,515.24
  5. Step 5: Solve for x
    x = 31,849,515.24/6,535.36
  6. Step 6: Final answer
    x = 4,873.41

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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.