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Finding the Fourth Proportional to 6,642.36, 9,968.04 and 2,746.74

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Solution

The fourth proportional to 6,642.36, 9,968.04 and 2,746.74 is: 4,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.36 : 9,968.04 = 2,746.74 : x
  2. Step 2: Convert to fraction form
    6,642.36/9,968.04 = 2,746.74/x
  3. Step 3: Cross multiply
    6,642.36x = 9,968.04 × 2,746.74
  4. Step 4: Simplify right side
    6,642.36x = 27,379,614.19
  5. Step 5: Solve for x
    x = 27,379,614.19/6,642.36
  6. Step 6: Final answer
    x = 4,121.97

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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.