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Finding the Fourth Proportional to 6,866.98, 9,476.47 and 3,723.16

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Solution

The fourth proportional to 6,866.98, 9,476.47 and 3,723.16 is: 5,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.98 : 9,476.47 = 3,723.16 : x
  2. Step 2: Convert to fraction form
    6,866.98/9,476.47 = 3,723.16/x
  3. Step 3: Cross multiply
    6,866.98x = 9,476.47 × 3,723.16
  4. Step 4: Simplify right side
    6,866.98x = 35,282,414.05
  5. Step 5: Solve for x
    x = 35,282,414.05/6,866.98
  6. Step 6: Final answer
    x = 5,137.98

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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.