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Finding the Fourth Proportional to 6,093.29, 9,139.98 and 2,144.64

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Solution

The fourth proportional to 6,093.29, 9,139.98 and 2,144.64 is: 3,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.29 : 9,139.98 = 2,144.64 : x
  2. Step 2: Convert to fraction form
    6,093.29/9,139.98 = 2,144.64/x
  3. Step 3: Cross multiply
    6,093.29x = 9,139.98 × 2,144.64
  4. Step 4: Simplify right side
    6,093.29x = 19,601,966.71
  5. Step 5: Solve for x
    x = 19,601,966.71/6,093.29
  6. Step 6: Final answer
    x = 3,216.98

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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.