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Finding the Fourth Proportional to 9,896.38, 13,656.90 and 5,420.14

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Solution

The fourth proportional to 9,896.38, 13,656.90 and 5,420.14 is: 7,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.38 : 13,656.90 = 5,420.14 : x
  2. Step 2: Convert to fraction form
    9,896.38/13,656.90 = 5,420.14/x
  3. Step 3: Cross multiply
    9,896.38x = 13,656.90 × 5,420.14
  4. Step 4: Simplify right side
    9,896.38x = 74,022,309.97
  5. Step 5: Solve for x
    x = 74,022,309.97/9,896.38
  6. Step 6: Final answer
    x = 7,479.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.