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Finding the Fourth Proportional to 6,355.31, 9,533.01 and 2,609.15

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Solution

The fourth proportional to 6,355.31, 9,533.01 and 2,609.15 is: 3,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.31 : 9,533.01 = 2,609.15 : x
  2. Step 2: Convert to fraction form
    6,355.31/9,533.01 = 2,609.15/x
  3. Step 3: Cross multiply
    6,355.31x = 9,533.01 × 2,609.15
  4. Step 4: Simplify right side
    6,355.31x = 24,873,015.16
  5. Step 5: Solve for x
    x = 24,873,015.16/6,355.31
  6. Step 6: Final answer
    x = 3,913.74

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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.