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Finding the Fourth Proportional to 6,230.65, 9,351.44 and 3,460.45

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Solution

The fourth proportional to 6,230.65, 9,351.44 and 3,460.45 is: 5,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.65 : 9,351.44 = 3,460.45 : x
  2. Step 2: Convert to fraction form
    6,230.65/9,351.44 = 3,460.45/x
  3. Step 3: Cross multiply
    6,230.65x = 9,351.44 × 3,460.45
  4. Step 4: Simplify right side
    6,230.65x = 32,360,190.55
  5. Step 5: Solve for x
    x = 32,360,190.55/6,230.65
  6. Step 6: Final answer
    x = 5,193.71

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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.