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Finding the Fourth Proportional to 6,467.82, 8,925.49 and 3,814.26

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Solution

The fourth proportional to 6,467.82, 8,925.49 and 3,814.26 is: 5,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.82 : 8,925.49 = 3,814.26 : x
  2. Step 2: Convert to fraction form
    6,467.82/8,925.49 = 3,814.26/x
  3. Step 3: Cross multiply
    6,467.82x = 8,925.49 × 3,814.26
  4. Step 4: Simplify right side
    6,467.82x = 34,044,139.49
  5. Step 5: Solve for x
    x = 34,044,139.49/6,467.82
  6. Step 6: Final answer
    x = 5,263.62

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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.