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Finding the Fourth Proportional to 9,883.82, 13,639.68 and 5,407.56

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Solution

The fourth proportional to 9,883.82, 13,639.68 and 5,407.56 is: 7,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.82 : 13,639.68 = 5,407.56 : x
  2. Step 2: Convert to fraction form
    9,883.82/13,639.68 = 5,407.56/x
  3. Step 3: Cross multiply
    9,883.82x = 13,639.68 × 5,407.56
  4. Step 4: Simplify right side
    9,883.82x = 73,757,387.98
  5. Step 5: Solve for x
    x = 73,757,387.98/9,883.82
  6. Step 6: Final answer
    x = 7,462.44

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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.