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Finding the Fourth Proportional to 9,637.80, 14,446.85 and 5,469

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Solution

The fourth proportional to 9,637.80, 14,446.85 and 5,469 is: 8,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.80 : 14,446.85 = 5,469 : x
  2. Step 2: Convert to fraction form
    9,637.80/14,446.85 = 5,469/x
  3. Step 3: Cross multiply
    9,637.80x = 14,446.85 × 5,469
  4. Step 4: Simplify right side
    9,637.80x = 79,009,795.31
  5. Step 5: Solve for x
    x = 79,009,795.31/9,637.80
  6. Step 6: Final answer
    x = 8,197.91

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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.