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Finding the Fourth Proportional to 9,190.46, 13,777.61 and 3,647.70

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Solution

The fourth proportional to 9,190.46, 13,777.61 and 3,647.70 is: 5,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.46 : 13,777.61 = 3,647.70 : x
  2. Step 2: Convert to fraction form
    9,190.46/13,777.61 = 3,647.70/x
  3. Step 3: Cross multiply
    9,190.46x = 13,777.61 × 3,647.70
  4. Step 4: Simplify right side
    9,190.46x = 50,256,569.76
  5. Step 5: Solve for x
    x = 50,256,569.76/9,190.46
  6. Step 6: Final answer
    x = 5,468.34

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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.