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Finding the Fourth Proportional to 9,234.01, 13,849.71 and 5,272.41

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Solution

The fourth proportional to 9,234.01, 13,849.71 and 5,272.41 is: 7,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.01 : 13,849.71 = 5,272.41 : x
  2. Step 2: Convert to fraction form
    9,234.01/13,849.71 = 5,272.41/x
  3. Step 3: Cross multiply
    9,234.01x = 13,849.71 × 5,272.41
  4. Step 4: Simplify right side
    9,234.01x = 73,021,349.50
  5. Step 5: Solve for x
    x = 73,021,349.50/9,234.01
  6. Step 6: Final answer
    x = 7,907.87

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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.