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Finding the Fourth Proportional to 8,439.34, 11,646.08 and 4,662.44

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Solution

The fourth proportional to 8,439.34, 11,646.08 and 4,662.44 is: 6,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.34 : 11,646.08 = 4,662.44 : x
  2. Step 2: Convert to fraction form
    8,439.34/11,646.08 = 4,662.44/x
  3. Step 3: Cross multiply
    8,439.34x = 11,646.08 × 4,662.44
  4. Step 4: Simplify right side
    8,439.34x = 54,299,149.24
  5. Step 5: Solve for x
    x = 54,299,149.24/8,439.34
  6. Step 6: Final answer
    x = 6,434.05

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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.