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Finding the Fourth Proportional to 6,961.24, 9,607.96 and 6,400.82

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Solution

The fourth proportional to 6,961.24, 9,607.96 and 6,400.82 is: 8,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.24 : 9,607.96 = 6,400.82 : x
  2. Step 2: Convert to fraction form
    6,961.24/9,607.96 = 6,400.82/x
  3. Step 3: Cross multiply
    6,961.24x = 9,607.96 × 6,400.82
  4. Step 4: Simplify right side
    6,961.24x = 61,498,822.53
  5. Step 5: Solve for x
    x = 61,498,822.53/6,961.24
  6. Step 6: Final answer
    x = 8,834.46

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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.