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Finding the Fourth Proportional to 6,996.96, 9,655.80 and 3,853.15

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Solution

The fourth proportional to 6,996.96, 9,655.80 and 3,853.15 is: 5,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.96 : 9,655.80 = 3,853.15 : x
  2. Step 2: Convert to fraction form
    6,996.96/9,655.80 = 3,853.15/x
  3. Step 3: Cross multiply
    6,996.96x = 9,655.80 × 3,853.15
  4. Step 4: Simplify right side
    6,996.96x = 37,205,245.77
  5. Step 5: Solve for x
    x = 37,205,245.77/6,996.96
  6. Step 6: Final answer
    x = 5,317.34

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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.