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Finding the Fourth Proportional to 6,468.15, 8,923.19 and 3,814.41

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Solution

The fourth proportional to 6,468.15, 8,923.19 and 3,814.41 is: 5,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.15 : 8,923.19 = 3,814.41 : x
  2. Step 2: Convert to fraction form
    6,468.15/8,923.19 = 3,814.41/x
  3. Step 3: Cross multiply
    6,468.15x = 8,923.19 × 3,814.41
  4. Step 4: Simplify right side
    6,468.15x = 34,036,686.10
  5. Step 5: Solve for x
    x = 34,036,686.10/6,468.15
  6. Step 6: Final answer
    x = 5,262.20

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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.