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Finding the Fourth Proportional to 9,884.87, 14,828.07 and 2,864.99

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Solution

The fourth proportional to 9,884.87, 14,828.07 and 2,864.99 is: 4,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.87 : 14,828.07 = 2,864.99 : x
  2. Step 2: Convert to fraction form
    9,884.87/14,828.07 = 2,864.99/x
  3. Step 3: Cross multiply
    9,884.87x = 14,828.07 × 2,864.99
  4. Step 4: Simplify right side
    9,884.87x = 42,482,198.13
  5. Step 5: Solve for x
    x = 42,482,198.13/9,884.87
  6. Step 6: Final answer
    x = 4,297.70

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Why These Related Problems?

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