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Finding the Fourth Proportional to 9,371.76, 14,048.46 and 3,446.88

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Solution

The fourth proportional to 9,371.76, 14,048.46 and 3,446.88 is: 5,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.76 : 14,048.46 = 3,446.88 : x
  2. Step 2: Convert to fraction form
    9,371.76/14,048.46 = 3,446.88/x
  3. Step 3: Cross multiply
    9,371.76x = 14,048.46 × 3,446.88
  4. Step 4: Simplify right side
    9,371.76x = 48,423,355.80
  5. Step 5: Solve for x
    x = 48,423,355.80/9,371.76
  6. Step 6: Final answer
    x = 5,166.94

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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.