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Finding the Fourth Proportional to 6,141.58, 9,214.17 and 1,981.51

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Solution

The fourth proportional to 6,141.58, 9,214.17 and 1,981.51 is: 2,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.58 : 9,214.17 = 1,981.51 : x
  2. Step 2: Convert to fraction form
    6,141.58/9,214.17 = 1,981.51/x
  3. Step 3: Cross multiply
    6,141.58x = 9,214.17 × 1,981.51
  4. Step 4: Simplify right side
    6,141.58x = 18,257,923.93
  5. Step 5: Solve for x
    x = 18,257,923.93/6,141.58
  6. Step 6: Final answer
    x = 2,972.84

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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.