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Finding the Fourth Proportional to 6,131.90, 9,203.62 and 3,212.25

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Solution

The fourth proportional to 6,131.90, 9,203.62 and 3,212.25 is: 4,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.90 : 9,203.62 = 3,212.25 : x
  2. Step 2: Convert to fraction form
    6,131.90/9,203.62 = 3,212.25/x
  3. Step 3: Cross multiply
    6,131.90x = 9,203.62 × 3,212.25
  4. Step 4: Simplify right side
    6,131.90x = 29,564,320.31
  5. Step 5: Solve for x
    x = 29,564,320.31/6,131.90
  6. Step 6: Final answer
    x = 4,821.40

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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.