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Finding the Fourth Proportional to 9,962.16, 13,745.76 and 6,234

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Solution

The fourth proportional to 9,962.16, 13,745.76 and 6,234 is: 8,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.16 : 13,745.76 = 6,234 : x
  2. Step 2: Convert to fraction form
    9,962.16/13,745.76 = 6,234/x
  3. Step 3: Cross multiply
    9,962.16x = 13,745.76 × 6,234
  4. Step 4: Simplify right side
    9,962.16x = 85,691,067.84
  5. Step 5: Solve for x
    x = 85,691,067.84/9,962.16
  6. Step 6: Final answer
    x = 8,601.66

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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.