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Finding the Fourth Proportional to 9,243.62, 13,859.76 and 4,314.32

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Solution

The fourth proportional to 9,243.62, 13,859.76 and 4,314.32 is: 6,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.62 : 13,859.76 = 4,314.32 : x
  2. Step 2: Convert to fraction form
    9,243.62/13,859.76 = 4,314.32/x
  3. Step 3: Cross multiply
    9,243.62x = 13,859.76 × 4,314.32
  4. Step 4: Simplify right side
    9,243.62x = 59,795,439.76
  5. Step 5: Solve for x
    x = 59,795,439.76/9,243.62
  6. Step 6: Final answer
    x = 6,468.83

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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.