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Finding the Fourth Proportional to 6,147.55, 9,206.74 and 4,388.23

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Solution

The fourth proportional to 6,147.55, 9,206.74 and 4,388.23 is: 6,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.55 : 9,206.74 = 4,388.23 : x
  2. Step 2: Convert to fraction form
    6,147.55/9,206.74 = 4,388.23/x
  3. Step 3: Cross multiply
    6,147.55x = 9,206.74 × 4,388.23
  4. Step 4: Simplify right side
    6,147.55x = 40,401,292.67
  5. Step 5: Solve for x
    x = 40,401,292.67/6,147.55
  6. Step 6: Final answer
    x = 6,571.93

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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.