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Finding the Fourth Proportional to 9,186, 13,778.96 and 2,612.24

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Solution

The fourth proportional to 9,186, 13,778.96 and 2,612.24 is: 3,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 13,778.96 = 2,612.24 : x
  2. Step 2: Convert to fraction form
    9,186/13,778.96 = 2,612.24/x
  3. Step 3: Cross multiply
    9,186x = 13,778.96 × 2,612.24
  4. Step 4: Simplify right side
    9,186x = 35,993,950.47
  5. Step 5: Solve for x
    x = 35,993,950.47/9,186
  6. Step 6: Final answer
    x = 3,918.35

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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.