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Finding the Fourth Proportional to 9,654.56, 14,472 and 3,808.80

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Solution

The fourth proportional to 9,654.56, 14,472 and 3,808.80 is: 5,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.56 : 14,472 = 3,808.80 : x
  2. Step 2: Convert to fraction form
    9,654.56/14,472 = 3,808.80/x
  3. Step 3: Cross multiply
    9,654.56x = 14,472 × 3,808.80
  4. Step 4: Simplify right side
    9,654.56x = 55,120,953.60
  5. Step 5: Solve for x
    x = 55,120,953.60/9,654.56
  6. Step 6: Final answer
    x = 5,709.32

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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.