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Finding the Fourth Proportional to 9,809.39, 14,712.01 and 3,234.02

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Solution

The fourth proportional to 9,809.39, 14,712.01 and 3,234.02 is: 4,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.39 : 14,712.01 = 3,234.02 : x
  2. Step 2: Convert to fraction form
    9,809.39/14,712.01 = 3,234.02/x
  3. Step 3: Cross multiply
    9,809.39x = 14,712.01 × 3,234.02
  4. Step 4: Simplify right side
    9,809.39x = 47,578,871.13
  5. Step 5: Solve for x
    x = 47,578,871.13/9,809.39
  6. Step 6: Final answer
    x = 4,850.34

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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.