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Finding the Fourth Proportional to 9,606, 14,385.78 and 4,663.44

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Solution

The fourth proportional to 9,606, 14,385.78 and 4,663.44 is: 6,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606 : 14,385.78 = 4,663.44 : x
  2. Step 2: Convert to fraction form
    9,606/14,385.78 = 4,663.44/x
  3. Step 3: Cross multiply
    9,606x = 14,385.78 × 4,663.44
  4. Step 4: Simplify right side
    9,606x = 67,087,221.88
  5. Step 5: Solve for x
    x = 67,087,221.88/9,606
  6. Step 6: Final answer
    x = 6,983.89

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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.