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Finding the Fourth Proportional to 9,600.08, 13,249.34 and 5,823.88

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Solution

The fourth proportional to 9,600.08, 13,249.34 and 5,823.88 is: 8,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.08 : 13,249.34 = 5,823.88 : x
  2. Step 2: Convert to fraction form
    9,600.08/13,249.34 = 5,823.88/x
  3. Step 3: Cross multiply
    9,600.08x = 13,249.34 × 5,823.88
  4. Step 4: Simplify right side
    9,600.08x = 77,162,566.24
  5. Step 5: Solve for x
    x = 77,162,566.24/9,600.08
  6. Step 6: Final answer
    x = 8,037.70

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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.