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Finding the Fourth Proportional to 9,234.93, 13,830.32 and 5,327.49

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Solution

The fourth proportional to 9,234.93, 13,830.32 and 5,327.49 is: 7,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.93 : 13,830.32 = 5,327.49 : x
  2. Step 2: Convert to fraction form
    9,234.93/13,830.32 = 5,327.49/x
  3. Step 3: Cross multiply
    9,234.93x = 13,830.32 × 5,327.49
  4. Step 4: Simplify right side
    9,234.93x = 73,680,891.50
  5. Step 5: Solve for x
    x = 73,680,891.50/9,234.93
  6. Step 6: Final answer
    x = 7,978.50

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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.