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Finding the Fourth Proportional to 9,468.72, 14,200.44 and 5,770.26

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Solution

The fourth proportional to 9,468.72, 14,200.44 and 5,770.26 is: 8,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.72 : 14,200.44 = 5,770.26 : x
  2. Step 2: Convert to fraction form
    9,468.72/14,200.44 = 5,770.26/x
  3. Step 3: Cross multiply
    9,468.72x = 14,200.44 × 5,770.26
  4. Step 4: Simplify right side
    9,468.72x = 81,940,230.91
  5. Step 5: Solve for x
    x = 81,940,230.91/9,468.72
  6. Step 6: Final answer
    x = 8,653.78

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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.