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Finding the Fourth Proportional to 9,996.78, 13,796 and 5,749.22

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Solution

The fourth proportional to 9,996.78, 13,796 and 5,749.22 is: 7,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.78 : 13,796 = 5,749.22 : x
  2. Step 2: Convert to fraction form
    9,996.78/13,796 = 5,749.22/x
  3. Step 3: Cross multiply
    9,996.78x = 13,796 × 5,749.22
  4. Step 4: Simplify right side
    9,996.78x = 79,316,239.12
  5. Step 5: Solve for x
    x = 79,316,239.12/9,996.78
  6. Step 6: Final answer
    x = 7,934.18

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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.