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Finding the Fourth Proportional to 9,323.49, 12,863.27 and 6,334.12

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Solution

The fourth proportional to 9,323.49, 12,863.27 and 6,334.12 is: 8,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.49 : 12,863.27 = 6,334.12 : x
  2. Step 2: Convert to fraction form
    9,323.49/12,863.27 = 6,334.12/x
  3. Step 3: Cross multiply
    9,323.49x = 12,863.27 × 6,334.12
  4. Step 4: Simplify right side
    9,323.49x = 81,477,495.77
  5. Step 5: Solve for x
    x = 81,477,495.77/9,323.49
  6. Step 6: Final answer
    x = 8,738.95

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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.