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Finding the Fourth Proportional to 6,235.34, 9,350.46 and 3,114.20

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Solution

The fourth proportional to 6,235.34, 9,350.46 and 3,114.20 is: 4,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.34 : 9,350.46 = 3,114.20 : x
  2. Step 2: Convert to fraction form
    6,235.34/9,350.46 = 3,114.20/x
  3. Step 3: Cross multiply
    6,235.34x = 9,350.46 × 3,114.20
  4. Step 4: Simplify right side
    6,235.34x = 29,119,202.53
  5. Step 5: Solve for x
    x = 29,119,202.53/6,235.34
  6. Step 6: Final answer
    x = 4,670.03

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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.