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Finding the Fourth Proportional to 9,993.83, 14,976.16 and 5,612.54

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Solution

The fourth proportional to 9,993.83, 14,976.16 and 5,612.54 is: 8,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.83 : 14,976.16 = 5,612.54 : x
  2. Step 2: Convert to fraction form
    9,993.83/14,976.16 = 5,612.54/x
  3. Step 3: Cross multiply
    9,993.83x = 14,976.16 × 5,612.54
  4. Step 4: Simplify right side
    9,993.83x = 84,054,208.13
  5. Step 5: Solve for x
    x = 84,054,208.13/9,993.83
  6. Step 6: Final answer
    x = 8,410.61

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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.