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Finding the Fourth Proportional to 6,323.36, 8,726.34 and 4,202.48

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Solution

The fourth proportional to 6,323.36, 8,726.34 and 4,202.48 is: 5,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.36 : 8,726.34 = 4,202.48 : x
  2. Step 2: Convert to fraction form
    6,323.36/8,726.34 = 4,202.48/x
  3. Step 3: Cross multiply
    6,323.36x = 8,726.34 × 4,202.48
  4. Step 4: Simplify right side
    6,323.36x = 36,672,269.32
  5. Step 5: Solve for x
    x = 36,672,269.32/6,323.36
  6. Step 6: Final answer
    x = 5,799.49

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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.