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Finding the Fourth Proportional to 6,141.72, 9,214.74 and 2,678.52

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Solution

The fourth proportional to 6,141.72, 9,214.74 and 2,678.52 is: 4,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.72 : 9,214.74 = 2,678.52 : x
  2. Step 2: Convert to fraction form
    6,141.72/9,214.74 = 2,678.52/x
  3. Step 3: Cross multiply
    6,141.72x = 9,214.74 × 2,678.52
  4. Step 4: Simplify right side
    6,141.72x = 24,681,865.38
  5. Step 5: Solve for x
    x = 24,681,865.38/6,141.72
  6. Step 6: Final answer
    x = 4,018.72

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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.