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Finding the Fourth Proportional to 6,592.08, 9,883.67 and 3,468.77

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Solution

The fourth proportional to 6,592.08, 9,883.67 and 3,468.77 is: 5,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.08 : 9,883.67 = 3,468.77 : x
  2. Step 2: Convert to fraction form
    6,592.08/9,883.67 = 3,468.77/x
  3. Step 3: Cross multiply
    6,592.08x = 9,883.67 × 3,468.77
  4. Step 4: Simplify right side
    6,592.08x = 34,284,223.39
  5. Step 5: Solve for x
    x = 34,284,223.39/6,592.08
  6. Step 6: Final answer
    x = 5,200.82

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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.