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Finding the Fourth Proportional to 9,797.33, 14,701.83 and 3,557.84

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Solution

The fourth proportional to 9,797.33, 14,701.83 and 3,557.84 is: 5,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.33 : 14,701.83 = 3,557.84 : x
  2. Step 2: Convert to fraction form
    9,797.33/14,701.83 = 3,557.84/x
  3. Step 3: Cross multiply
    9,797.33x = 14,701.83 × 3,557.84
  4. Step 4: Simplify right side
    9,797.33x = 52,306,758.85
  5. Step 5: Solve for x
    x = 52,306,758.85/9,797.33
  6. Step 6: Final answer
    x = 5,338.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.