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Finding the Fourth Proportional to 6,634.98, 9,156.02 and 3,802.12

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Solution

The fourth proportional to 6,634.98, 9,156.02 and 3,802.12 is: 5,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.98 : 9,156.02 = 3,802.12 : x
  2. Step 2: Convert to fraction form
    6,634.98/9,156.02 = 3,802.12/x
  3. Step 3: Cross multiply
    6,634.98x = 9,156.02 × 3,802.12
  4. Step 4: Simplify right side
    6,634.98x = 34,812,286.76
  5. Step 5: Solve for x
    x = 34,812,286.76/6,634.98
  6. Step 6: Final answer
    x = 5,246.78

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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.