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Finding the Fourth Proportional to 6,967.49, 9,616.61 and 4,174.61

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Solution

The fourth proportional to 6,967.49, 9,616.61 and 4,174.61 is: 5,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.49 : 9,616.61 = 4,174.61 : x
  2. Step 2: Convert to fraction form
    6,967.49/9,616.61 = 4,174.61/x
  3. Step 3: Cross multiply
    6,967.49x = 9,616.61 × 4,174.61
  4. Step 4: Simplify right side
    6,967.49x = 40,145,558.63
  5. Step 5: Solve for x
    x = 40,145,558.63/6,967.49
  6. Step 6: Final answer
    x = 5,761.84

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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.