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Finding the Fourth Proportional to 8,439.76, 11,646.84 and 4,662.82

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Solution

The fourth proportional to 8,439.76, 11,646.84 and 4,662.82 is: 6,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.76 : 11,646.84 = 4,662.82 : x
  2. Step 2: Convert to fraction form
    8,439.76/11,646.84 = 4,662.82/x
  3. Step 3: Cross multiply
    8,439.76x = 11,646.84 × 4,662.82
  4. Step 4: Simplify right side
    8,439.76x = 54,307,118.49
  5. Step 5: Solve for x
    x = 54,307,118.49/8,439.76
  6. Step 6: Final answer
    x = 6,434.68

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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.