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Finding the Fourth Proportional to 6,172.61, 9,257.85 and 2,223.07

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Solution

The fourth proportional to 6,172.61, 9,257.85 and 2,223.07 is: 3,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.61 : 9,257.85 = 2,223.07 : x
  2. Step 2: Convert to fraction form
    6,172.61/9,257.85 = 2,223.07/x
  3. Step 3: Cross multiply
    6,172.61x = 9,257.85 × 2,223.07
  4. Step 4: Simplify right side
    6,172.61x = 20,580,825.45
  5. Step 5: Solve for x
    x = 20,580,825.45/6,172.61
  6. Step 6: Final answer
    x = 3,334.22

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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.