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Finding the Fourth Proportional to 9,234.18, 13,829.19 and 5,326.74

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Solution

The fourth proportional to 9,234.18, 13,829.19 and 5,326.74 is: 7,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.18 : 13,829.19 = 5,326.74 : x
  2. Step 2: Convert to fraction form
    9,234.18/13,829.19 = 5,326.74/x
  3. Step 3: Cross multiply
    9,234.18x = 13,829.19 × 5,326.74
  4. Step 4: Simplify right side
    9,234.18x = 73,664,499.54
  5. Step 5: Solve for x
    x = 73,664,499.54/9,234.18
  6. Step 6: Final answer
    x = 7,977.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.