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Finding the Fourth Proportional to 6,675.32, 9,211.23 and 3,690.68

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Solution

The fourth proportional to 6,675.32, 9,211.23 and 3,690.68 is: 5,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.32 : 9,211.23 = 3,690.68 : x
  2. Step 2: Convert to fraction form
    6,675.32/9,211.23 = 3,690.68/x
  3. Step 3: Cross multiply
    6,675.32x = 9,211.23 × 3,690.68
  4. Step 4: Simplify right side
    6,675.32x = 33,995,656.28
  5. Step 5: Solve for x
    x = 33,995,656.28/6,675.32
  6. Step 6: Final answer
    x = 5,092.74

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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.