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Finding the Fourth Proportional to 9,809.37, 14,621.65 and 9,022.05

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Solution

The fourth proportional to 9,809.37, 14,621.65 and 9,022.05 is: 13,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.37 : 14,621.65 = 9,022.05 : x
  2. Step 2: Convert to fraction form
    9,809.37/14,621.65 = 9,022.05/x
  3. Step 3: Cross multiply
    9,809.37x = 14,621.65 × 9,022.05
  4. Step 4: Simplify right side
    9,809.37x = 131,917,234.83
  5. Step 5: Solve for x
    x = 131,917,234.83/9,809.37
  6. Step 6: Final answer
    x = 13,448.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.