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Finding the Fourth Proportional to 6,323.46, 8,726.66 and 3,635.55

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Solution

The fourth proportional to 6,323.46, 8,726.66 and 3,635.55 is: 5,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.46 : 8,726.66 = 3,635.55 : x
  2. Step 2: Convert to fraction form
    6,323.46/8,726.66 = 3,635.55/x
  3. Step 3: Cross multiply
    6,323.46x = 8,726.66 × 3,635.55
  4. Step 4: Simplify right side
    6,323.46x = 31,726,224.67
  5. Step 5: Solve for x
    x = 31,726,224.67/6,323.46
  6. Step 6: Final answer
    x = 5,017.23

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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.