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Finding the Fourth Proportional to 9,843.87, 14,757.44 and 4,581.93

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Solution

The fourth proportional to 9,843.87, 14,757.44 and 4,581.93 is: 6,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.87 : 14,757.44 = 4,581.93 : x
  2. Step 2: Convert to fraction form
    9,843.87/14,757.44 = 4,581.93/x
  3. Step 3: Cross multiply
    9,843.87x = 14,757.44 × 4,581.93
  4. Step 4: Simplify right side
    9,843.87x = 67,617,582.50
  5. Step 5: Solve for x
    x = 67,617,582.50/9,843.87
  6. Step 6: Final answer
    x = 6,869.01

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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.