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Finding the Fourth Proportional to 9,797.05, 13,519.89 and 5,320.77

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Solution

The fourth proportional to 9,797.05, 13,519.89 and 5,320.77 is: 7,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.05 : 13,519.89 = 5,320.77 : x
  2. Step 2: Convert to fraction form
    9,797.05/13,519.89 = 5,320.77/x
  3. Step 3: Cross multiply
    9,797.05x = 13,519.89 × 5,320.77
  4. Step 4: Simplify right side
    9,797.05x = 71,936,130.91
  5. Step 5: Solve for x
    x = 71,936,130.91/9,797.05
  6. Step 6: Final answer
    x = 7,342.63

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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.