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Finding the Fourth Proportional to 9,669.53, 13,342.76 and 5,891.33

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Solution

The fourth proportional to 9,669.53, 13,342.76 and 5,891.33 is: 8,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.53 : 13,342.76 = 5,891.33 : x
  2. Step 2: Convert to fraction form
    9,669.53/13,342.76 = 5,891.33/x
  3. Step 3: Cross multiply
    9,669.53x = 13,342.76 × 5,891.33
  4. Step 4: Simplify right side
    9,669.53x = 78,606,550.29
  5. Step 5: Solve for x
    x = 78,606,550.29/9,669.53
  6. Step 6: Final answer
    x = 8,129.30

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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.