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Finding the Fourth Proportional to 9,660.78, 14,498.49 and 6,372.78

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Solution

The fourth proportional to 9,660.78, 14,498.49 and 6,372.78 is: 9,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.78 : 14,498.49 = 6,372.78 : x
  2. Step 2: Convert to fraction form
    9,660.78/14,498.49 = 6,372.78/x
  3. Step 3: Cross multiply
    9,660.78x = 14,498.49 × 6,372.78
  4. Step 4: Simplify right side
    9,660.78x = 92,395,687.10
  5. Step 5: Solve for x
    x = 92,395,687.10/9,660.78
  6. Step 6: Final answer
    x = 9,564.00

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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.