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Finding the Fourth Proportional to 6,155.90, 9,233.85 and 4,309.10

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Solution

The fourth proportional to 6,155.90, 9,233.85 and 4,309.10 is: 6,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.90 : 9,233.85 = 4,309.10 : x
  2. Step 2: Convert to fraction form
    6,155.90/9,233.85 = 4,309.10/x
  3. Step 3: Cross multiply
    6,155.90x = 9,233.85 × 4,309.10
  4. Step 4: Simplify right side
    6,155.90x = 39,789,583.04
  5. Step 5: Solve for x
    x = 39,789,583.04/6,155.90
  6. Step 6: Final answer
    x = 6,463.65

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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.