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Finding the Fourth Proportional to 10,194.88, 14,055.78 and 6,838.24

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Solution

The fourth proportional to 10,194.88, 14,055.78 and 6,838.24 is: 9,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.88 : 14,055.78 = 6,838.24 : x
  2. Step 2: Convert to fraction form
    10,194.88/14,055.78 = 6,838.24/x
  3. Step 3: Cross multiply
    10,194.88x = 14,055.78 × 6,838.24
  4. Step 4: Simplify right side
    10,194.88x = 96,116,797.03
  5. Step 5: Solve for x
    x = 96,116,797.03/10,194.88
  6. Step 6: Final answer
    x = 9,427.95

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