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Finding the Fourth Proportional to 6,688.80, 9,229.77 and 3,703.88

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Solution

The fourth proportional to 6,688.80, 9,229.77 and 3,703.88 is: 5,110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.80 : 9,229.77 = 3,703.88 : x
  2. Step 2: Convert to fraction form
    6,688.80/9,229.77 = 3,703.88/x
  3. Step 3: Cross multiply
    6,688.80x = 9,229.77 × 3,703.88
  4. Step 4: Simplify right side
    6,688.80x = 34,185,942.08
  5. Step 5: Solve for x
    x = 34,185,942.08/6,688.80
  6. Step 6: Final answer
    x = 5,110.92

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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.