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Finding the Fourth Proportional to 9,984.43, 13,778.64 and 5,508.34

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Solution

The fourth proportional to 9,984.43, 13,778.64 and 5,508.34 is: 7,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.43 : 13,778.64 = 5,508.34 : x
  2. Step 2: Convert to fraction form
    9,984.43/13,778.64 = 5,508.34/x
  3. Step 3: Cross multiply
    9,984.43x = 13,778.64 × 5,508.34
  4. Step 4: Simplify right side
    9,984.43x = 75,897,399.41
  5. Step 5: Solve for x
    x = 75,897,399.41/9,984.43
  6. Step 6: Final answer
    x = 7,601.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.