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Finding the Fourth Proportional to 6,394.08, 9,587.48 and 3,428.87

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Solution

The fourth proportional to 6,394.08, 9,587.48 and 3,428.87 is: 5,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.08 : 9,587.48 = 3,428.87 : x
  2. Step 2: Convert to fraction form
    6,394.08/9,587.48 = 3,428.87/x
  3. Step 3: Cross multiply
    6,394.08x = 9,587.48 × 3,428.87
  4. Step 4: Simplify right side
    6,394.08x = 32,874,229.37
  5. Step 5: Solve for x
    x = 32,874,229.37/6,394.08
  6. Step 6: Final answer
    x = 5,141.35

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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.