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Finding the Fourth Proportional to 9,797.11, 13,519.97 and 5,320.83

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Solution

The fourth proportional to 9,797.11, 13,519.97 and 5,320.83 is: 7,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.11 : 13,519.97 = 5,320.83 : x
  2. Step 2: Convert to fraction form
    9,797.11/13,519.97 = 5,320.83/x
  3. Step 3: Cross multiply
    9,797.11x = 13,519.97 × 5,320.83
  4. Step 4: Simplify right side
    9,797.11x = 71,937,461.98
  5. Step 5: Solve for x
    x = 71,937,461.98/9,797.11
  6. Step 6: Final answer
    x = 7,342.72

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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.