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Finding the Fourth Proportional to 6,646.82, 9,969.62 and 2,263.77

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Solution

The fourth proportional to 6,646.82, 9,969.62 and 2,263.77 is: 3,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.82 : 9,969.62 = 2,263.77 : x
  2. Step 2: Convert to fraction form
    6,646.82/9,969.62 = 2,263.77/x
  3. Step 3: Cross multiply
    6,646.82x = 9,969.62 × 2,263.77
  4. Step 4: Simplify right side
    6,646.82x = 22,568,915.35
  5. Step 5: Solve for x
    x = 22,568,915.35/6,646.82
  6. Step 6: Final answer
    x = 3,395.45

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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.