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Finding the Fourth Proportional to 6,146.35, 9,203.13 and 3,218.51

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Solution

The fourth proportional to 6,146.35, 9,203.13 and 3,218.51 is: 4,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.35 : 9,203.13 = 3,218.51 : x
  2. Step 2: Convert to fraction form
    6,146.35/9,203.13 = 3,218.51/x
  3. Step 3: Cross multiply
    6,146.35x = 9,203.13 × 3,218.51
  4. Step 4: Simplify right side
    6,146.35x = 29,620,388.94
  5. Step 5: Solve for x
    x = 29,620,388.94/6,146.35
  6. Step 6: Final answer
    x = 4,819.19

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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.