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Finding the Fourth Proportional to 6,646.26, 9,171.72 and 3,813.51

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Solution

The fourth proportional to 6,646.26, 9,171.72 and 3,813.51 is: 5,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.26 : 9,171.72 = 3,813.51 : x
  2. Step 2: Convert to fraction form
    6,646.26/9,171.72 = 3,813.51/x
  3. Step 3: Cross multiply
    6,646.26x = 9,171.72 × 3,813.51
  4. Step 4: Simplify right side
    6,646.26x = 34,976,445.94
  5. Step 5: Solve for x
    x = 34,976,445.94/6,646.26
  6. Step 6: Final answer
    x = 5,262.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.