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Finding the Fourth Proportional to 6,990.42, 9,646.86 and 3,846.66

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Solution

The fourth proportional to 6,990.42, 9,646.86 and 3,846.66 is: 5,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.42 : 9,646.86 = 3,846.66 : x
  2. Step 2: Convert to fraction form
    6,990.42/9,646.86 = 3,846.66/x
  3. Step 3: Cross multiply
    6,990.42x = 9,646.86 × 3,846.66
  4. Step 4: Simplify right side
    6,990.42x = 37,108,190.49
  5. Step 5: Solve for x
    x = 37,108,190.49/6,990.42
  6. Step 6: Final answer
    x = 5,308.44

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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.