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Finding the Fourth Proportional to 9,663.52, 14,498.73 and 5,961.44

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Solution

The fourth proportional to 9,663.52, 14,498.73 and 5,961.44 is: 8,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.52 : 14,498.73 = 5,961.44 : x
  2. Step 2: Convert to fraction form
    9,663.52/14,498.73 = 5,961.44/x
  3. Step 3: Cross multiply
    9,663.52x = 14,498.73 × 5,961.44
  4. Step 4: Simplify right side
    9,663.52x = 86,433,345.22
  5. Step 5: Solve for x
    x = 86,433,345.22/9,663.52
  6. Step 6: Final answer
    x = 8,944.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.