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Finding the Fourth Proportional to 9,869.87, 14,801.02 and 5,366

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Solution

The fourth proportional to 9,869.87, 14,801.02 and 5,366 is: 8,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.87 : 14,801.02 = 5,366 : x
  2. Step 2: Convert to fraction form
    9,869.87/14,801.02 = 5,366/x
  3. Step 3: Cross multiply
    9,869.87x = 14,801.02 × 5,366
  4. Step 4: Simplify right side
    9,869.87x = 79,422,273.32
  5. Step 5: Solve for x
    x = 79,422,273.32/9,869.87
  6. Step 6: Final answer
    x = 8,046.94

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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.