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Finding the Fourth Proportional to 9,796.93, 13,519.50 and 5,320.54

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Solution

The fourth proportional to 9,796.93, 13,519.50 and 5,320.54 is: 7,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.93 : 13,519.50 = 5,320.54 : x
  2. Step 2: Convert to fraction form
    9,796.93/13,519.50 = 5,320.54/x
  3. Step 3: Cross multiply
    9,796.93x = 13,519.50 × 5,320.54
  4. Step 4: Simplify right side
    9,796.93x = 71,931,040.53
  5. Step 5: Solve for x
    x = 71,931,040.53/9,796.93
  6. Step 6: Final answer
    x = 7,342.20

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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.