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Finding the Fourth Proportional to 6,109.67, 9,158.34 and 2,409.86

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Solution

The fourth proportional to 6,109.67, 9,158.34 and 2,409.86 is: 3,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.67 : 9,158.34 = 2,409.86 : x
  2. Step 2: Convert to fraction form
    6,109.67/9,158.34 = 2,409.86/x
  3. Step 3: Cross multiply
    6,109.67x = 9,158.34 × 2,409.86
  4. Step 4: Simplify right side
    6,109.67x = 22,070,317.23
  5. Step 5: Solve for x
    x = 22,070,317.23/6,109.67
  6. Step 6: Final answer
    x = 3,612.36

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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.