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Finding the Fourth Proportional to 6,416, 8,858.40 and 3,936.32

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Solution

The fourth proportional to 6,416, 8,858.40 and 3,936.32 is: 5,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 8,858.40 = 3,936.32 : x
  2. Step 2: Convert to fraction form
    6,416/8,858.40 = 3,936.32/x
  3. Step 3: Cross multiply
    6,416x = 8,858.40 × 3,936.32
  4. Step 4: Simplify right side
    6,416x = 34,869,497.09
  5. Step 5: Solve for x
    x = 34,869,497.09/6,416
  6. Step 6: Final answer
    x = 5,434.77

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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.