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Finding the Fourth Proportional to 9,796.98, 13,519.80 and 5,320.71

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Solution

The fourth proportional to 9,796.98, 13,519.80 and 5,320.71 is: 7,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.98 : 13,519.80 = 5,320.71 : x
  2. Step 2: Convert to fraction form
    9,796.98/13,519.80 = 5,320.71/x
  3. Step 3: Cross multiply
    9,796.98x = 13,519.80 × 5,320.71
  4. Step 4: Simplify right side
    9,796.98x = 71,934,935.06
  5. Step 5: Solve for x
    x = 71,934,935.06/9,796.98
  6. Step 6: Final answer
    x = 7,342.56

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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.