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Finding the Fourth Proportional to 9,393.90, 12,961.46 and 5,616.44

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Solution

The fourth proportional to 9,393.90, 12,961.46 and 5,616.44 is: 7,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.90 : 12,961.46 = 5,616.44 : x
  2. Step 2: Convert to fraction form
    9,393.90/12,961.46 = 5,616.44/x
  3. Step 3: Cross multiply
    9,393.90x = 12,961.46 × 5,616.44
  4. Step 4: Simplify right side
    9,393.90x = 72,797,262.40
  5. Step 5: Solve for x
    x = 72,797,262.40/9,393.90
  6. Step 6: Final answer
    x = 7,749.42

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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.