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Finding the Fourth Proportional to 6,990.86, 9,647.34 and 3,847.04

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Solution

The fourth proportional to 6,990.86, 9,647.34 and 3,847.04 is: 5,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.86 : 9,647.34 = 3,847.04 : x
  2. Step 2: Convert to fraction form
    6,990.86/9,647.34 = 3,847.04/x
  3. Step 3: Cross multiply
    6,990.86x = 9,647.34 × 3,847.04
  4. Step 4: Simplify right side
    6,990.86x = 37,113,702.87
  5. Step 5: Solve for x
    x = 37,113,702.87/6,990.86
  6. Step 6: Final answer
    x = 5,308.89

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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.