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Finding the Fourth Proportional to 6,642.39, 9,961.24 and 1,961.14

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Solution

The fourth proportional to 6,642.39, 9,961.24 and 1,961.14 is: 2,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.39 : 9,961.24 = 1,961.14 : x
  2. Step 2: Convert to fraction form
    6,642.39/9,961.24 = 1,961.14/x
  3. Step 3: Cross multiply
    6,642.39x = 9,961.24 × 1,961.14
  4. Step 4: Simplify right side
    6,642.39x = 19,535,386.21
  5. Step 5: Solve for x
    x = 19,535,386.21/6,642.39
  6. Step 6: Final answer
    x = 2,941.02

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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.