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Finding the Fourth Proportional to 6,532.02, 9,015.84 and 3,881.30

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Solution

The fourth proportional to 6,532.02, 9,015.84 and 3,881.30 is: 5,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.02 : 9,015.84 = 3,881.30 : x
  2. Step 2: Convert to fraction form
    6,532.02/9,015.84 = 3,881.30/x
  3. Step 3: Cross multiply
    6,532.02x = 9,015.84 × 3,881.30
  4. Step 4: Simplify right side
    6,532.02x = 34,993,134.71
  5. Step 5: Solve for x
    x = 34,993,134.71/6,532.02
  6. Step 6: Final answer
    x = 5,357.17

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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.