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Finding the Fourth Proportional to 6,417.05, 8,855.28 and 3,584.27

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Solution

The fourth proportional to 6,417.05, 8,855.28 and 3,584.27 is: 4,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.05 : 8,855.28 = 3,584.27 : x
  2. Step 2: Convert to fraction form
    6,417.05/8,855.28 = 3,584.27/x
  3. Step 3: Cross multiply
    6,417.05x = 8,855.28 × 3,584.27
  4. Step 4: Simplify right side
    6,417.05x = 31,739,736.58
  5. Step 5: Solve for x
    x = 31,739,736.58/6,417.05
  6. Step 6: Final answer
    x = 4,946.16

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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.