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Finding the Fourth Proportional to 9,884.60, 13,641.96 and 5,905.68

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Solution

The fourth proportional to 9,884.60, 13,641.96 and 5,905.68 is: 8,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.60 : 13,641.96 = 5,905.68 : x
  2. Step 2: Convert to fraction form
    9,884.60/13,641.96 = 5,905.68/x
  3. Step 3: Cross multiply
    9,884.60x = 13,641.96 × 5,905.68
  4. Step 4: Simplify right side
    9,884.60x = 80,565,050.33
  5. Step 5: Solve for x
    x = 80,565,050.33/9,884.60
  6. Step 6: Final answer
    x = 8,150.56

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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.