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Finding the Fourth Proportional to 9,612.37, 14,423.16 and 5,229.82

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Solution

The fourth proportional to 9,612.37, 14,423.16 and 5,229.82 is: 7,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.37 : 14,423.16 = 5,229.82 : x
  2. Step 2: Convert to fraction form
    9,612.37/14,423.16 = 5,229.82/x
  3. Step 3: Cross multiply
    9,612.37x = 14,423.16 × 5,229.82
  4. Step 4: Simplify right side
    9,612.37x = 75,430,530.63
  5. Step 5: Solve for x
    x = 75,430,530.63/9,612.37
  6. Step 6: Final answer
    x = 7,847.24

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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.