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Finding the Fourth Proportional to 9,551.72, 14,329.10 and 3,313.61

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Solution

The fourth proportional to 9,551.72, 14,329.10 and 3,313.61 is: 4,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.72 : 14,329.10 = 3,313.61 : x
  2. Step 2: Convert to fraction form
    9,551.72/14,329.10 = 3,313.61/x
  3. Step 3: Cross multiply
    9,551.72x = 14,329.10 × 3,313.61
  4. Step 4: Simplify right side
    9,551.72x = 47,481,049.05
  5. Step 5: Solve for x
    x = 47,481,049.05/9,551.72
  6. Step 6: Final answer
    x = 4,970.94

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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.