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Finding the Fourth Proportional to 8,439.86, 11,646.40 and 4,662.98

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Solution

The fourth proportional to 8,439.86, 11,646.40 and 4,662.98 is: 6,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.86 : 11,646.40 = 4,662.98 : x
  2. Step 2: Convert to fraction form
    8,439.86/11,646.40 = 4,662.98/x
  3. Step 3: Cross multiply
    8,439.86x = 11,646.40 × 4,662.98
  4. Step 4: Simplify right side
    8,439.86x = 54,306,939.01
  5. Step 5: Solve for x
    x = 54,306,939.01/8,439.86
  6. Step 6: Final answer
    x = 6,434.58

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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.