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Finding the Fourth Proportional to 6,143.05, 9,214.53 and 3,678.58

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Solution

The fourth proportional to 6,143.05, 9,214.53 and 3,678.58 is: 5,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.05 : 9,214.53 = 3,678.58 : x
  2. Step 2: Convert to fraction form
    6,143.05/9,214.53 = 3,678.58/x
  3. Step 3: Cross multiply
    6,143.05x = 9,214.53 × 3,678.58
  4. Step 4: Simplify right side
    6,143.05x = 33,896,385.77
  5. Step 5: Solve for x
    x = 33,896,385.77/6,143.05
  6. Step 6: Final answer
    x = 5,517.84

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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.