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Finding the Fourth Proportional to 6,661.40, 9,192.74 and 3,677.23

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Solution

The fourth proportional to 6,661.40, 9,192.74 and 3,677.23 is: 5,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.40 : 9,192.74 = 3,677.23 : x
  2. Step 2: Convert to fraction form
    6,661.40/9,192.74 = 3,677.23/x
  3. Step 3: Cross multiply
    6,661.40x = 9,192.74 × 3,677.23
  4. Step 4: Simplify right side
    6,661.40x = 33,803,844.73
  5. Step 5: Solve for x
    x = 33,803,844.73/6,661.40
  6. Step 6: Final answer
    x = 5,074.59

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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.