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Finding the Fourth Proportional to 9,348.80, 14,028 and 6,231.04

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Solution

The fourth proportional to 9,348.80, 14,028 and 6,231.04 is: 9,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.80 : 14,028 = 6,231.04 : x
  2. Step 2: Convert to fraction form
    9,348.80/14,028 = 6,231.04/x
  3. Step 3: Cross multiply
    9,348.80x = 14,028 × 6,231.04
  4. Step 4: Simplify right side
    9,348.80x = 87,409,029.12
  5. Step 5: Solve for x
    x = 87,409,029.12/9,348.80
  6. Step 6: Final answer
    x = 9,349.76

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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.