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Finding the Fourth Proportional to 9,186.62, 13,778.86 and 2,944.55

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Solution

The fourth proportional to 9,186.62, 13,778.86 and 2,944.55 is: 4,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.62 : 13,778.86 = 2,944.55 : x
  2. Step 2: Convert to fraction form
    9,186.62/13,778.86 = 2,944.55/x
  3. Step 3: Cross multiply
    9,186.62x = 13,778.86 × 2,944.55
  4. Step 4: Simplify right side
    9,186.62x = 40,572,574.82
  5. Step 5: Solve for x
    x = 40,572,574.82/9,186.62
  6. Step 6: Final answer
    x = 4,416.49

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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.