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Finding the Fourth Proportional to 10,194.01, 14,046.17 and 9,492.75

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Solution

The fourth proportional to 10,194.01, 14,046.17 and 9,492.75 is: 13,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.01 : 14,046.17 = 9,492.75 : x
  2. Step 2: Convert to fraction form
    10,194.01/14,046.17 = 9,492.75/x
  3. Step 3: Cross multiply
    10,194.01x = 14,046.17 × 9,492.75
  4. Step 4: Simplify right side
    10,194.01x = 133,336,780.27
  5. Step 5: Solve for x
    x = 133,336,780.27/10,194.01
  6. Step 6: Final answer
    x = 13,079.91

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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.