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Finding the Fourth Proportional to 6,464.94, 8,923.88 and 3,812.18

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Solution

The fourth proportional to 6,464.94, 8,923.88 and 3,812.18 is: 5,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.94 : 8,923.88 = 3,812.18 : x
  2. Step 2: Convert to fraction form
    6,464.94/8,923.88 = 3,812.18/x
  3. Step 3: Cross multiply
    6,464.94x = 8,923.88 × 3,812.18
  4. Step 4: Simplify right side
    6,464.94x = 34,019,468.70
  5. Step 5: Solve for x
    x = 34,019,468.70/6,464.94
  6. Step 6: Final answer
    x = 5,262.15

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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.