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Finding the Fourth Proportional to 6,642.90, 9,969.78 and 3,180.14

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Solution

The fourth proportional to 6,642.90, 9,969.78 and 3,180.14 is: 4,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.90 : 9,969.78 = 3,180.14 : x
  2. Step 2: Convert to fraction form
    6,642.90/9,969.78 = 3,180.14/x
  3. Step 3: Cross multiply
    6,642.90x = 9,969.78 × 3,180.14
  4. Step 4: Simplify right side
    6,642.90x = 31,705,296.17
  5. Step 5: Solve for x
    x = 31,705,296.17/6,642.90
  6. Step 6: Final answer
    x = 4,772.81

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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.