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Finding the Fourth Proportional to 9,509.52, 14,251.32 and 4,578.80

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Solution

The fourth proportional to 9,509.52, 14,251.32 and 4,578.80 is: 6,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.52 : 14,251.32 = 4,578.80 : x
  2. Step 2: Convert to fraction form
    9,509.52/14,251.32 = 4,578.80/x
  3. Step 3: Cross multiply
    9,509.52x = 14,251.32 × 4,578.80
  4. Step 4: Simplify right side
    9,509.52x = 65,253,944.02
  5. Step 5: Solve for x
    x = 65,253,944.02/9,509.52
  6. Step 6: Final answer
    x = 6,861.96

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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.