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Finding the Fourth Proportional to 9,321.69, 13,982.64 and 2,748

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Solution

The fourth proportional to 9,321.69, 13,982.64 and 2,748 is: 4,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.69 : 13,982.64 = 2,748 : x
  2. Step 2: Convert to fraction form
    9,321.69/13,982.64 = 2,748/x
  3. Step 3: Cross multiply
    9,321.69x = 13,982.64 × 2,748
  4. Step 4: Simplify right side
    9,321.69x = 38,424,294.72
  5. Step 5: Solve for x
    x = 38,424,294.72/9,321.69
  6. Step 6: Final answer
    x = 4,122.03

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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.