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Finding the Fourth Proportional to 9,797.25, 13,519.81 and 5,320.88

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Solution

The fourth proportional to 9,797.25, 13,519.81 and 5,320.88 is: 7,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.25 : 13,519.81 = 5,320.88 : x
  2. Step 2: Convert to fraction form
    9,797.25/13,519.81 = 5,320.88/x
  3. Step 3: Cross multiply
    9,797.25x = 13,519.81 × 5,320.88
  4. Step 4: Simplify right side
    9,797.25x = 71,937,286.63
  5. Step 5: Solve for x
    x = 71,937,286.63/9,797.25
  6. Step 6: Final answer
    x = 7,342.60

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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.