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Finding the Fourth Proportional to 6,657.81, 9,181.80 and 5,542.44

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Solution

The fourth proportional to 6,657.81, 9,181.80 and 5,542.44 is: 7,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.81 : 9,181.80 = 5,542.44 : x
  2. Step 2: Convert to fraction form
    6,657.81/9,181.80 = 5,542.44/x
  3. Step 3: Cross multiply
    6,657.81x = 9,181.80 × 5,542.44
  4. Step 4: Simplify right side
    6,657.81x = 50,889,575.59
  5. Step 5: Solve for x
    x = 50,889,575.59/6,657.81
  6. Step 6: Final answer
    x = 7,643.59

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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.