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Finding the Fourth Proportional to 10,344.12, 14,283.18 and 7,194.84

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Solution

The fourth proportional to 10,344.12, 14,283.18 and 7,194.84 is: 9,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.12 : 14,283.18 = 7,194.84 : x
  2. Step 2: Convert to fraction form
    10,344.12/14,283.18 = 7,194.84/x
  3. Step 3: Cross multiply
    10,344.12x = 14,283.18 × 7,194.84
  4. Step 4: Simplify right side
    10,344.12x = 102,765,194.79
  5. Step 5: Solve for x
    x = 102,765,194.79/10,344.12
  6. Step 6: Final answer
    x = 9,934.65

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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.