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Finding the Fourth Proportional to 6,468.45, 8,923.53 and 3,814.62

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Solution

The fourth proportional to 6,468.45, 8,923.53 and 3,814.62 is: 5,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.45 : 8,923.53 = 3,814.62 : x
  2. Step 2: Convert to fraction form
    6,468.45/8,923.53 = 3,814.62/x
  3. Step 3: Cross multiply
    6,468.45x = 8,923.53 × 3,814.62
  4. Step 4: Simplify right side
    6,468.45x = 34,039,876.01
  5. Step 5: Solve for x
    x = 34,039,876.01/6,468.45
  6. Step 6: Final answer
    x = 5,262.45

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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.