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Finding the Fourth Proportional to 9,663.99, 14,497.25 and 2,738.67

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Solution

The fourth proportional to 9,663.99, 14,497.25 and 2,738.67 is: 4,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.99 : 14,497.25 = 2,738.67 : x
  2. Step 2: Convert to fraction form
    9,663.99/14,497.25 = 2,738.67/x
  3. Step 3: Cross multiply
    9,663.99x = 14,497.25 × 2,738.67
  4. Step 4: Simplify right side
    9,663.99x = 39,703,169.96
  5. Step 5: Solve for x
    x = 39,703,169.96/9,663.99
  6. Step 6: Final answer
    x = 4,108.36

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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.