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Finding the Fourth Proportional to 6,143.58, 9,215.05 and 1,983.51

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Solution

The fourth proportional to 6,143.58, 9,215.05 and 1,983.51 is: 2,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.58 : 9,215.05 = 1,983.51 : x
  2. Step 2: Convert to fraction form
    6,143.58/9,215.05 = 1,983.51/x
  3. Step 3: Cross multiply
    6,143.58x = 9,215.05 × 1,983.51
  4. Step 4: Simplify right side
    6,143.58x = 18,278,143.83
  5. Step 5: Solve for x
    x = 18,278,143.83/6,143.58
  6. Step 6: Final answer
    x = 2,975.16

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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.