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Finding the Fourth Proportional to 9,650.94, 13,316 and 5,874.07

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Solution

The fourth proportional to 9,650.94, 13,316 and 5,874.07 is: 8,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.94 : 13,316 = 5,874.07 : x
  2. Step 2: Convert to fraction form
    9,650.94/13,316 = 5,874.07/x
  3. Step 3: Cross multiply
    9,650.94x = 13,316 × 5,874.07
  4. Step 4: Simplify right side
    9,650.94x = 78,219,049.54
  5. Step 5: Solve for x
    x = 78,219,049.54/9,650.94
  6. Step 6: Final answer
    x = 8,104.81

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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.