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Finding the Fourth Proportional to 10,194.95, 14,068.15 and 6,837.17

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Solution

The fourth proportional to 10,194.95, 14,068.15 and 6,837.17 is: 9,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.95 : 14,068.15 = 6,837.17 : x
  2. Step 2: Convert to fraction form
    10,194.95/14,068.15 = 6,837.17/x
  3. Step 3: Cross multiply
    10,194.95x = 14,068.15 × 6,837.17
  4. Step 4: Simplify right side
    10,194.95x = 96,186,245.70
  5. Step 5: Solve for x
    x = 96,186,245.70/10,194.95
  6. Step 6: Final answer
    x = 9,434.69

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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.