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Finding the Fourth Proportional to 9,951.77, 14,929.49 and 3,288.60

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Solution

The fourth proportional to 9,951.77, 14,929.49 and 3,288.60 is: 4,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.77 : 14,929.49 = 3,288.60 : x
  2. Step 2: Convert to fraction form
    9,951.77/14,929.49 = 3,288.60/x
  3. Step 3: Cross multiply
    9,951.77x = 14,929.49 × 3,288.60
  4. Step 4: Simplify right side
    9,951.77x = 49,097,119.79
  5. Step 5: Solve for x
    x = 49,097,119.79/9,951.77
  6. Step 6: Final answer
    x = 4,933.50

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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.