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Finding the Fourth Proportional to 9,896.98, 13,657.85 and 5,359.71

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Solution

The fourth proportional to 9,896.98, 13,657.85 and 5,359.71 is: 7,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.98 : 13,657.85 = 5,359.71 : x
  2. Step 2: Convert to fraction form
    9,896.98/13,657.85 = 5,359.71/x
  3. Step 3: Cross multiply
    9,896.98x = 13,657.85 × 5,359.71
  4. Step 4: Simplify right side
    9,896.98x = 73,202,115.22
  5. Step 5: Solve for x
    x = 73,202,115.22/9,896.98
  6. Step 6: Final answer
    x = 7,396.41

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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.