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Finding the Fourth Proportional to 6,416, 8,855.04 and 3,933.44

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Solution

The fourth proportional to 6,416, 8,855.04 and 3,933.44 is: 5,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 8,855.04 = 3,933.44 : x
  2. Step 2: Convert to fraction form
    6,416/8,855.04 = 3,933.44/x
  3. Step 3: Cross multiply
    6,416x = 8,855.04 × 3,933.44
  4. Step 4: Simplify right side
    6,416x = 34,830,768.54
  5. Step 5: Solve for x
    x = 34,830,768.54/6,416
  6. Step 6: Final answer
    x = 5,428.74

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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.