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Finding the Fourth Proportional to 9,311.00, 13,963.52 and 3,069.84

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Solution

The fourth proportional to 9,311.00, 13,963.52 and 3,069.84 is: 4,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.00 : 13,963.52 = 3,069.84 : x
  2. Step 2: Convert to fraction form
    9,311.00/13,963.52 = 3,069.84/x
  3. Step 3: Cross multiply
    9,311.00x = 13,963.52 × 3,069.84
  4. Step 4: Simplify right side
    9,311.00x = 42,865,814.82
  5. Step 5: Solve for x
    x = 42,865,814.82/9,311.00
  6. Step 6: Final answer
    x = 4,603.78

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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.