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Finding the Fourth Proportional to 10,194.68, 14,066.52 and 6,663.08

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Solution

The fourth proportional to 10,194.68, 14,066.52 and 6,663.08 is: 9,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.68 : 14,066.52 = 6,663.08 : x
  2. Step 2: Convert to fraction form
    10,194.68/14,066.52 = 6,663.08/x
  3. Step 3: Cross multiply
    10,194.68x = 14,066.52 × 6,663.08
  4. Step 4: Simplify right side
    10,194.68x = 93,726,348.08
  5. Step 5: Solve for x
    x = 93,726,348.08/10,194.68
  6. Step 6: Final answer
    x = 9,193.65

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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.