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Finding the Fourth Proportional to 6,642.72, 9,964.49 and 1,963.35

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Solution

The fourth proportional to 6,642.72, 9,964.49 and 1,963.35 is: 2,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.72 : 9,964.49 = 1,963.35 : x
  2. Step 2: Convert to fraction form
    6,642.72/9,964.49 = 1,963.35/x
  3. Step 3: Cross multiply
    6,642.72x = 9,964.49 × 1,963.35
  4. Step 4: Simplify right side
    6,642.72x = 19,563,771.62
  5. Step 5: Solve for x
    x = 19,563,771.62/6,642.72
  6. Step 6: Final answer
    x = 2,945.14

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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.