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Finding the Fourth Proportional to 6,152.31, 9,213.03 and 3,802.66

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Solution

The fourth proportional to 6,152.31, 9,213.03 and 3,802.66 is: 5,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.31 : 9,213.03 = 3,802.66 : x
  2. Step 2: Convert to fraction form
    6,152.31/9,213.03 = 3,802.66/x
  3. Step 3: Cross multiply
    6,152.31x = 9,213.03 × 3,802.66
  4. Step 4: Simplify right side
    6,152.31x = 35,034,020.66
  5. Step 5: Solve for x
    x = 35,034,020.66/6,152.31
  6. Step 6: Final answer
    x = 5,694.45

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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.