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Finding the Fourth Proportional to 6,962.93, 9,607.64 and 3,936.66

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Solution

The fourth proportional to 6,962.93, 9,607.64 and 3,936.66 is: 5,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.93 : 9,607.64 = 3,936.66 : x
  2. Step 2: Convert to fraction form
    6,962.93/9,607.64 = 3,936.66/x
  3. Step 3: Cross multiply
    6,962.93x = 9,607.64 × 3,936.66
  4. Step 4: Simplify right side
    6,962.93x = 37,821,992.40
  5. Step 5: Solve for x
    x = 37,821,992.40/6,962.93
  6. Step 6: Final answer
    x = 5,431.91

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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.