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Finding the Fourth Proportional to 9,984.96, 13,779 and 5,508.68

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Solution

The fourth proportional to 9,984.96, 13,779 and 5,508.68 is: 7,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.96 : 13,779 = 5,508.68 : x
  2. Step 2: Convert to fraction form
    9,984.96/13,779 = 5,508.68/x
  3. Step 3: Cross multiply
    9,984.96x = 13,779 × 5,508.68
  4. Step 4: Simplify right side
    9,984.96x = 75,904,101.72
  5. Step 5: Solve for x
    x = 75,904,101.72/9,984.96
  6. Step 6: Final answer
    x = 7,601.84

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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.