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Finding the Fourth Proportional to 9,884.69, 14,832.89 and 3,649.05

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Solution

The fourth proportional to 9,884.69, 14,832.89 and 3,649.05 is: 5,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.69 : 14,832.89 = 3,649.05 : x
  2. Step 2: Convert to fraction form
    9,884.69/14,832.89 = 3,649.05/x
  3. Step 3: Cross multiply
    9,884.69x = 14,832.89 × 3,649.05
  4. Step 4: Simplify right side
    9,884.69x = 54,125,957.25
  5. Step 5: Solve for x
    x = 54,125,957.25/9,884.69
  6. Step 6: Final answer
    x = 5,475.74

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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.