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Finding the Fourth Proportional to 9,239.12, 13,863 and 5,346.80

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Solution

The fourth proportional to 9,239.12, 13,863 and 5,346.80 is: 8,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.12 : 13,863 = 5,346.80 : x
  2. Step 2: Convert to fraction form
    9,239.12/13,863 = 5,346.80/x
  3. Step 3: Cross multiply
    9,239.12x = 13,863 × 5,346.80
  4. Step 4: Simplify right side
    9,239.12x = 74,122,688.40
  5. Step 5: Solve for x
    x = 74,122,688.40/9,239.12
  6. Step 6: Final answer
    x = 8,022.70

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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.