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Finding the Fourth Proportional to 8,446.97, 12,656.54 and 2,897.27

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Solution

The fourth proportional to 8,446.97, 12,656.54 and 2,897.27 is: 4,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.97 : 12,656.54 = 2,897.27 : x
  2. Step 2: Convert to fraction form
    8,446.97/12,656.54 = 2,897.27/x
  3. Step 3: Cross multiply
    8,446.97x = 12,656.54 × 2,897.27
  4. Step 4: Simplify right side
    8,446.97x = 36,669,400.99
  5. Step 5: Solve for x
    x = 36,669,400.99/8,446.97
  6. Step 6: Final answer
    x = 4,341.13

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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.