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Finding the Fourth Proportional to 6,289.25, 9,433.06 and 2,129.09

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Solution

The fourth proportional to 6,289.25, 9,433.06 and 2,129.09 is: 3,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.25 : 9,433.06 = 2,129.09 : x
  2. Step 2: Convert to fraction form
    6,289.25/9,433.06 = 2,129.09/x
  3. Step 3: Cross multiply
    6,289.25x = 9,433.06 × 2,129.09
  4. Step 4: Simplify right side
    6,289.25x = 20,083,781.23
  5. Step 5: Solve for x
    x = 20,083,781.23/6,289.25
  6. Step 6: Final answer
    x = 3,193.35

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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.