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Finding the Fourth Proportional to 9,912.64, 13,677.38 and 6,728.40

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Solution

The fourth proportional to 9,912.64, 13,677.38 and 6,728.40 is: 9,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.64 : 13,677.38 = 6,728.40 : x
  2. Step 2: Convert to fraction form
    9,912.64/13,677.38 = 6,728.40/x
  3. Step 3: Cross multiply
    9,912.64x = 13,677.38 × 6,728.40
  4. Step 4: Simplify right side
    9,912.64x = 92,026,849.95
  5. Step 5: Solve for x
    x = 92,026,849.95/9,912.64
  6. Step 6: Final answer
    x = 9,283.79

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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.