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Finding the Fourth Proportional to 9,233.94, 12,738.63 and 6,046.38

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Solution

The fourth proportional to 9,233.94, 12,738.63 and 6,046.38 is: 8,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.94 : 12,738.63 = 6,046.38 : x
  2. Step 2: Convert to fraction form
    9,233.94/12,738.63 = 6,046.38/x
  3. Step 3: Cross multiply
    9,233.94x = 12,738.63 × 6,046.38
  4. Step 4: Simplify right side
    9,233.94x = 77,022,597.66
  5. Step 5: Solve for x
    x = 77,022,597.66/9,233.94
  6. Step 6: Final answer
    x = 8,341.25

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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.