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Finding the Fourth Proportional to 9,796.23, 13,518.74 and 5,319.97

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Solution

The fourth proportional to 9,796.23, 13,518.74 and 5,319.97 is: 7,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.23 : 13,518.74 = 5,319.97 : x
  2. Step 2: Convert to fraction form
    9,796.23/13,518.74 = 5,319.97/x
  3. Step 3: Cross multiply
    9,796.23x = 13,518.74 × 5,319.97
  4. Step 4: Simplify right side
    9,796.23x = 71,919,270.74
  5. Step 5: Solve for x
    x = 71,919,270.74/9,796.23
  6. Step 6: Final answer
    x = 7,341.53

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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.