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Finding the Fourth Proportional to 6,866.36, 9,475.62 and 3,722.54

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Solution

The fourth proportional to 6,866.36, 9,475.62 and 3,722.54 is: 5,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.36 : 9,475.62 = 3,722.54 : x
  2. Step 2: Convert to fraction form
    6,866.36/9,475.62 = 3,722.54/x
  3. Step 3: Cross multiply
    6,866.36x = 9,475.62 × 3,722.54
  4. Step 4: Simplify right side
    6,866.36x = 35,273,374.47
  5. Step 5: Solve for x
    x = 35,273,374.47/6,866.36
  6. Step 6: Final answer
    x = 5,137.13

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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.