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Finding the Fourth Proportional to 9,295.30, 12,827.90 and 5,316.41

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Solution

The fourth proportional to 9,295.30, 12,827.90 and 5,316.41 is: 7,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.30 : 12,827.90 = 5,316.41 : x
  2. Step 2: Convert to fraction form
    9,295.30/12,827.90 = 5,316.41/x
  3. Step 3: Cross multiply
    9,295.30x = 12,827.90 × 5,316.41
  4. Step 4: Simplify right side
    9,295.30x = 68,198,375.84
  5. Step 5: Solve for x
    x = 68,198,375.84/9,295.30
  6. Step 6: Final answer
    x = 7,336.87

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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.