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Finding the Fourth Proportional to 9,777.92, 13,493.64 and 5,797.52

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Solution

The fourth proportional to 9,777.92, 13,493.64 and 5,797.52 is: 8,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.92 : 13,493.64 = 5,797.52 : x
  2. Step 2: Convert to fraction form
    9,777.92/13,493.64 = 5,797.52/x
  3. Step 3: Cross multiply
    9,777.92x = 13,493.64 × 5,797.52
  4. Step 4: Simplify right side
    9,777.92x = 78,229,647.77
  5. Step 5: Solve for x
    x = 78,229,647.77/9,777.92
  6. Step 6: Final answer
    x = 8,000.64

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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.