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Finding the Fourth Proportional to 6,980.08, 9,633.06 and 3,996.86

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Solution

The fourth proportional to 6,980.08, 9,633.06 and 3,996.86 is: 5,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.08 : 9,633.06 = 3,996.86 : x
  2. Step 2: Convert to fraction form
    6,980.08/9,633.06 = 3,996.86/x
  3. Step 3: Cross multiply
    6,980.08x = 9,633.06 × 3,996.86
  4. Step 4: Simplify right side
    6,980.08x = 38,501,992.19
  5. Step 5: Solve for x
    x = 38,501,992.19/6,980.08
  6. Step 6: Final answer
    x = 5,515.98

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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.