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Finding the Fourth Proportional to 6,154.75, 9,233.34 and 2,259.19

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Solution

The fourth proportional to 6,154.75, 9,233.34 and 2,259.19 is: 3,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.75 : 9,233.34 = 2,259.19 : x
  2. Step 2: Convert to fraction form
    6,154.75/9,233.34 = 2,259.19/x
  3. Step 3: Cross multiply
    6,154.75x = 9,233.34 × 2,259.19
  4. Step 4: Simplify right side
    6,154.75x = 20,859,811.93
  5. Step 5: Solve for x
    x = 20,859,811.93/6,154.75
  6. Step 6: Final answer
    x = 3,389.22

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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.