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Finding the Fourth Proportional to 9,906.88, 13,672.38 and 6,378.52

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Solution

The fourth proportional to 9,906.88, 13,672.38 and 6,378.52 is: 8,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.88 : 13,672.38 = 6,378.52 : x
  2. Step 2: Convert to fraction form
    9,906.88/13,672.38 = 6,378.52/x
  3. Step 3: Cross multiply
    9,906.88x = 13,672.38 × 6,378.52
  4. Step 4: Simplify right side
    9,906.88x = 87,209,549.28
  5. Step 5: Solve for x
    x = 87,209,549.28/9,906.88
  6. Step 6: Final answer
    x = 8,802.93

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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.