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Finding the Fourth Proportional to 6,532.58, 9,796.03 and 2,371.20

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Solution

The fourth proportional to 6,532.58, 9,796.03 and 2,371.20 is: 3,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.58 : 9,796.03 = 2,371.20 : x
  2. Step 2: Convert to fraction form
    6,532.58/9,796.03 = 2,371.20/x
  3. Step 3: Cross multiply
    6,532.58x = 9,796.03 × 2,371.20
  4. Step 4: Simplify right side
    6,532.58x = 23,228,334.48
  5. Step 5: Solve for x
    x = 23,228,334.48/6,532.58
  6. Step 6: Final answer
    x = 3,555.77

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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.