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Finding the Fourth Proportional to 9,796.46, 13,519.12 and 5,320.20

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Solution

The fourth proportional to 9,796.46, 13,519.12 and 5,320.20 is: 7,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.46 : 13,519.12 = 5,320.20 : x
  2. Step 2: Convert to fraction form
    9,796.46/13,519.12 = 5,320.20/x
  3. Step 3: Cross multiply
    9,796.46x = 13,519.12 × 5,320.20
  4. Step 4: Simplify right side
    9,796.46x = 71,924,422.22
  5. Step 5: Solve for x
    x = 71,924,422.22/9,796.46
  6. Step 6: Final answer
    x = 7,341.88

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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.