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Finding the Fourth Proportional to 6,152.34, 9,233.21 and 3,193.20

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Solution

The fourth proportional to 6,152.34, 9,233.21 and 3,193.20 is: 4,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.34 : 9,233.21 = 3,193.20 : x
  2. Step 2: Convert to fraction form
    6,152.34/9,233.21 = 3,193.20/x
  3. Step 3: Cross multiply
    6,152.34x = 9,233.21 × 3,193.20
  4. Step 4: Simplify right side
    6,152.34x = 29,483,528.78
  5. Step 5: Solve for x
    x = 29,483,528.78/6,152.34
  6. Step 6: Final answer
    x = 4,792.25

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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.