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Finding the Fourth Proportional to 6,726.25, 9,281.77 and 3,741.98

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Solution

The fourth proportional to 6,726.25, 9,281.77 and 3,741.98 is: 5,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.25 : 9,281.77 = 3,741.98 : x
  2. Step 2: Convert to fraction form
    6,726.25/9,281.77 = 3,741.98/x
  3. Step 3: Cross multiply
    6,726.25x = 9,281.77 × 3,741.98
  4. Step 4: Simplify right side
    6,726.25x = 34,732,141.94
  5. Step 5: Solve for x
    x = 34,732,141.94/6,726.25
  6. Step 6: Final answer
    x = 5,163.67

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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.