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Finding the Fourth Proportional to 6,143.02, 9,214.52 and 4,062.53

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Solution

The fourth proportional to 6,143.02, 9,214.52 and 4,062.53 is: 6,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.02 : 9,214.52 = 4,062.53 : x
  2. Step 2: Convert to fraction form
    6,143.02/9,214.52 = 4,062.53/x
  3. Step 3: Cross multiply
    6,143.02x = 9,214.52 × 4,062.53
  4. Step 4: Simplify right side
    6,143.02x = 37,434,263.94
  5. Step 5: Solve for x
    x = 37,434,263.94/6,143.02
  6. Step 6: Final answer
    x = 6,093.79

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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.