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Finding the Fourth Proportional to 6,296.14, 8,678.30 and 4,614.89

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Solution

The fourth proportional to 6,296.14, 8,678.30 and 4,614.89 is: 6,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.14 : 8,678.30 = 4,614.89 : x
  2. Step 2: Convert to fraction form
    6,296.14/8,678.30 = 4,614.89/x
  3. Step 3: Cross multiply
    6,296.14x = 8,678.30 × 4,614.89
  4. Step 4: Simplify right side
    6,296.14x = 40,049,399.89
  5. Step 5: Solve for x
    x = 40,049,399.89/6,296.14
  6. Step 6: Final answer
    x = 6,360.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.