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Finding the Fourth Proportional to 6,109.48, 9,168 and 2,411.08

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Solution

The fourth proportional to 6,109.48, 9,168 and 2,411.08 is: 3,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.48 : 9,168 = 2,411.08 : x
  2. Step 2: Convert to fraction form
    6,109.48/9,168 = 2,411.08/x
  3. Step 3: Cross multiply
    6,109.48x = 9,168 × 2,411.08
  4. Step 4: Simplify right side
    6,109.48x = 22,104,781.44
  5. Step 5: Solve for x
    x = 22,104,781.44/6,109.48
  6. Step 6: Final answer
    x = 3,618.11

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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.