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Finding the Fourth Proportional to 6,961, 9,605 and 4,601.88

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Solution

The fourth proportional to 6,961, 9,605 and 4,601.88 is: 6,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961 : 9,605 = 4,601.88 : x
  2. Step 2: Convert to fraction form
    6,961/9,605 = 4,601.88/x
  3. Step 3: Cross multiply
    6,961x = 9,605 × 4,601.88
  4. Step 4: Simplify right side
    6,961x = 44,201,057.40
  5. Step 5: Solve for x
    x = 44,201,057.40/6,961
  6. Step 6: Final answer
    x = 6,349.81

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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.