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Finding the Fourth Proportional to 6,890.90, 9,508.65 and 3,906.14

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Solution

The fourth proportional to 6,890.90, 9,508.65 and 3,906.14 is: 5,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.90 : 9,508.65 = 3,906.14 : x
  2. Step 2: Convert to fraction form
    6,890.90/9,508.65 = 3,906.14/x
  3. Step 3: Cross multiply
    6,890.90x = 9,508.65 × 3,906.14
  4. Step 4: Simplify right side
    6,890.90x = 37,142,118.11
  5. Step 5: Solve for x
    x = 37,142,118.11/6,890.90
  6. Step 6: Final answer
    x = 5,390.02

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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.