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Finding the Fourth Proportional to 6,348.06, 9,522.81 and 3,430.62

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Solution

The fourth proportional to 6,348.06, 9,522.81 and 3,430.62 is: 5,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.06 : 9,522.81 = 3,430.62 : x
  2. Step 2: Convert to fraction form
    6,348.06/9,522.81 = 3,430.62/x
  3. Step 3: Cross multiply
    6,348.06x = 9,522.81 × 3,430.62
  4. Step 4: Simplify right side
    6,348.06x = 32,669,142.44
  5. Step 5: Solve for x
    x = 32,669,142.44/6,348.06
  6. Step 6: Final answer
    x = 5,146.32

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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.