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Finding the Fourth Proportional to 6,114.94, 9,170.05 and 2,165.46

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Solution

The fourth proportional to 6,114.94, 9,170.05 and 2,165.46 is: 3,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.94 : 9,170.05 = 2,165.46 : x
  2. Step 2: Convert to fraction form
    6,114.94/9,170.05 = 2,165.46/x
  3. Step 3: Cross multiply
    6,114.94x = 9,170.05 × 2,165.46
  4. Step 4: Simplify right side
    6,114.94x = 19,857,371.06
  5. Step 5: Solve for x
    x = 19,857,371.06/6,114.94
  6. Step 6: Final answer
    x = 3,247.35

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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.