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Finding the Fourth Proportional to 9,838.12, 14,755.65 and 5,397.97

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Solution

The fourth proportional to 9,838.12, 14,755.65 and 5,397.97 is: 8,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.12 : 14,755.65 = 5,397.97 : x
  2. Step 2: Convert to fraction form
    9,838.12/14,755.65 = 5,397.97/x
  3. Step 3: Cross multiply
    9,838.12x = 14,755.65 × 5,397.97
  4. Step 4: Simplify right side
    9,838.12x = 79,650,556.03
  5. Step 5: Solve for x
    x = 79,650,556.03/9,838.12
  6. Step 6: Final answer
    x = 8,096.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.