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Finding the Fourth Proportional to 6,642.25, 9,965.01 and 1,962.23

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Solution

The fourth proportional to 6,642.25, 9,965.01 and 1,962.23 is: 2,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.25 : 9,965.01 = 1,962.23 : x
  2. Step 2: Convert to fraction form
    6,642.25/9,965.01 = 1,962.23/x
  3. Step 3: Cross multiply
    6,642.25x = 9,965.01 × 1,962.23
  4. Step 4: Simplify right side
    6,642.25x = 19,553,631.76
  5. Step 5: Solve for x
    x = 19,553,631.76/6,642.25
  6. Step 6: Final answer
    x = 2,943.83

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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.