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Finding the Fourth Proportional to 9,382.78, 12,948.36 and 5,191

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Solution

The fourth proportional to 9,382.78, 12,948.36 and 5,191 is: 7,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.78 : 12,948.36 = 5,191 : x
  2. Step 2: Convert to fraction form
    9,382.78/12,948.36 = 5,191/x
  3. Step 3: Cross multiply
    9,382.78x = 12,948.36 × 5,191
  4. Step 4: Simplify right side
    9,382.78x = 67,214,936.76
  5. Step 5: Solve for x
    x = 67,214,936.76/9,382.78
  6. Step 6: Final answer
    x = 7,163.65

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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.