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Finding the Fourth Proportional to 6,383.58, 9,564.90 and 3,913.17

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Solution

The fourth proportional to 6,383.58, 9,564.90 and 3,913.17 is: 5,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.58 : 9,564.90 = 3,913.17 : x
  2. Step 2: Convert to fraction form
    6,383.58/9,564.90 = 3,913.17/x
  3. Step 3: Cross multiply
    6,383.58x = 9,564.90 × 3,913.17
  4. Step 4: Simplify right side
    6,383.58x = 37,429,079.73
  5. Step 5: Solve for x
    x = 37,429,079.73/6,383.58
  6. Step 6: Final answer
    x = 5,863.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.