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Finding the Fourth Proportional to 9,385.49, 12,940.22 and 6,022.37

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Solution

The fourth proportional to 9,385.49, 12,940.22 and 6,022.37 is: 8,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.49 : 12,940.22 = 6,022.37 : x
  2. Step 2: Convert to fraction form
    9,385.49/12,940.22 = 6,022.37/x
  3. Step 3: Cross multiply
    9,385.49x = 12,940.22 × 6,022.37
  4. Step 4: Simplify right side
    9,385.49x = 77,930,762.61
  5. Step 5: Solve for x
    x = 77,930,762.61/9,385.49
  6. Step 6: Final answer
    x = 8,303.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.