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Finding the Fourth Proportional to 6,143.53, 9,208 and 3,541.09

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Solution

The fourth proportional to 6,143.53, 9,208 and 3,541.09 is: 5,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.53 : 9,208 = 3,541.09 : x
  2. Step 2: Convert to fraction form
    6,143.53/9,208 = 3,541.09/x
  3. Step 3: Cross multiply
    6,143.53x = 9,208 × 3,541.09
  4. Step 4: Simplify right side
    6,143.53x = 32,606,356.72
  5. Step 5: Solve for x
    x = 32,606,356.72/6,143.53
  6. Step 6: Final answer
    x = 5,307.43

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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.