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Finding the Fourth Proportional to 10,446.68, 14,412.67 and 6,194.45

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Solution

The fourth proportional to 10,446.68, 14,412.67 and 6,194.45 is: 8,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.68 : 14,412.67 = 6,194.45 : x
  2. Step 2: Convert to fraction form
    10,446.68/14,412.67 = 6,194.45/x
  3. Step 3: Cross multiply
    10,446.68x = 14,412.67 × 6,194.45
  4. Step 4: Simplify right side
    10,446.68x = 89,278,569.82
  5. Step 5: Solve for x
    x = 89,278,569.82/10,446.68
  6. Step 6: Final answer
    x = 8,546.12

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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.