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Finding the Fourth Proportional to 9,663.84, 14,508 and 8,040.24

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Solution

The fourth proportional to 9,663.84, 14,508 and 8,040.24 is: 12,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.84 : 14,508 = 8,040.24 : x
  2. Step 2: Convert to fraction form
    9,663.84/14,508 = 8,040.24/x
  3. Step 3: Cross multiply
    9,663.84x = 14,508 × 8,040.24
  4. Step 4: Simplify right side
    9,663.84x = 116,647,801.92
  5. Step 5: Solve for x
    x = 116,647,801.92/9,663.84
  6. Step 6: Final answer
    x = 12,070.54

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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.