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Finding the Fourth Proportional to 34,434.92, 51,654.30 and 9,809

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Solution

The fourth proportional to 34,434.92, 51,654.30 and 9,809 is: 14,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,434.92 : 51,654.30 = 9,809 : x
  2. Step 2: Convert to fraction form
    34,434.92/51,654.30 = 9,809/x
  3. Step 3: Cross multiply
    34,434.92x = 51,654.30 × 9,809
  4. Step 4: Simplify right side
    34,434.92x = 506,677,028.70
  5. Step 5: Solve for x
    x = 506,677,028.70/34,434.92
  6. Step 6: Final answer
    x = 14,714.05

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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.