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Finding the Fourth Proportional to 9,186.46, 13,775.16 and 2,945

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Solution

The fourth proportional to 9,186.46, 13,775.16 and 2,945 is: 4,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.46 : 13,775.16 = 2,945 : x
  2. Step 2: Convert to fraction form
    9,186.46/13,775.16 = 2,945/x
  3. Step 3: Cross multiply
    9,186.46x = 13,775.16 × 2,945
  4. Step 4: Simplify right side
    9,186.46x = 40,567,846.20
  5. Step 5: Solve for x
    x = 40,567,846.20/9,186.46
  6. Step 6: Final answer
    x = 4,416.05

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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.