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Finding the Fourth Proportional to 9,383.78, 12,949.74 and 5,192

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Solution

The fourth proportional to 9,383.78, 12,949.74 and 5,192 is: 7,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.78 : 12,949.74 = 5,192 : x
  2. Step 2: Convert to fraction form
    9,383.78/12,949.74 = 5,192/x
  3. Step 3: Cross multiply
    9,383.78x = 12,949.74 × 5,192
  4. Step 4: Simplify right side
    9,383.78x = 67,235,050.08
  5. Step 5: Solve for x
    x = 67,235,050.08/9,383.78
  6. Step 6: Final answer
    x = 7,165.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.