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Finding the Fourth Proportional to 6,996.86, 9,655.50 and 4,014.44

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Solution

The fourth proportional to 6,996.86, 9,655.50 and 4,014.44 is: 5,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.86 : 9,655.50 = 4,014.44 : x
  2. Step 2: Convert to fraction form
    6,996.86/9,655.50 = 4,014.44/x
  3. Step 3: Cross multiply
    6,996.86x = 9,655.50 × 4,014.44
  4. Step 4: Simplify right side
    6,996.86x = 38,761,425.42
  5. Step 5: Solve for x
    x = 38,761,425.42/6,996.86
  6. Step 6: Final answer
    x = 5,539.83

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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.