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Finding the Fourth Proportional to 8,444.05, 11,654.24 and 4,909.31

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Solution

The fourth proportional to 8,444.05, 11,654.24 and 4,909.31 is: 6,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.05 : 11,654.24 = 4,909.31 : x
  2. Step 2: Convert to fraction form
    8,444.05/11,654.24 = 4,909.31/x
  3. Step 3: Cross multiply
    8,444.05x = 11,654.24 × 4,909.31
  4. Step 4: Simplify right side
    8,444.05x = 57,214,281.56
  5. Step 5: Solve for x
    x = 57,214,281.56/8,444.05
  6. Step 6: Final answer
    x = 6,775.69

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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.