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Finding the Fourth Proportional to 6,143.66, 9,208.19 and 3,541.22

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Solution

The fourth proportional to 6,143.66, 9,208.19 and 3,541.22 is: 5,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.66 : 9,208.19 = 3,541.22 : x
  2. Step 2: Convert to fraction form
    6,143.66/9,208.19 = 3,541.22/x
  3. Step 3: Cross multiply
    6,143.66x = 9,208.19 × 3,541.22
  4. Step 4: Simplify right side
    6,143.66x = 32,608,180.55
  5. Step 5: Solve for x
    x = 32,608,180.55/6,143.66
  6. Step 6: Final answer
    x = 5,307.62

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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.