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Finding the Fourth Proportional to 9,246, 13,872.49 and 5,550.80

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Solution

The fourth proportional to 9,246, 13,872.49 and 5,550.80 is: 8,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246 : 13,872.49 = 5,550.80 : x
  2. Step 2: Convert to fraction form
    9,246/13,872.49 = 5,550.80/x
  3. Step 3: Cross multiply
    9,246x = 13,872.49 × 5,550.80
  4. Step 4: Simplify right side
    9,246x = 77,003,417.49
  5. Step 5: Solve for x
    x = 77,003,417.49/9,246
  6. Step 6: Final answer
    x = 8,328.30

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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.