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Finding the Fourth Proportional to 9,572.02, 14,343.37 and 6,440.43

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Solution

The fourth proportional to 9,572.02, 14,343.37 and 6,440.43 is: 9,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.02 : 14,343.37 = 6,440.43 : x
  2. Step 2: Convert to fraction form
    9,572.02/14,343.37 = 6,440.43/x
  3. Step 3: Cross multiply
    9,572.02x = 14,343.37 × 6,440.43
  4. Step 4: Simplify right side
    9,572.02x = 92,377,398.73
  5. Step 5: Solve for x
    x = 92,377,398.73/9,572.02
  6. Step 6: Final answer
    x = 9,650.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.