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Finding the Fourth Proportional to 9,723, 13,418.66 and 5,531.26

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Solution

The fourth proportional to 9,723, 13,418.66 and 5,531.26 is: 7,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723 : 13,418.66 = 5,531.26 : x
  2. Step 2: Convert to fraction form
    9,723/13,418.66 = 5,531.26/x
  3. Step 3: Cross multiply
    9,723x = 13,418.66 × 5,531.26
  4. Step 4: Simplify right side
    9,723x = 74,222,097.31
  5. Step 5: Solve for x
    x = 74,222,097.31/9,723
  6. Step 6: Final answer
    x = 7,633.66

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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.