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Finding the Fourth Proportional to 9,315.78, 12,861.09 and 6,176.22

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Solution

The fourth proportional to 9,315.78, 12,861.09 and 6,176.22 is: 8,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.78 : 12,861.09 = 6,176.22 : x
  2. Step 2: Convert to fraction form
    9,315.78/12,861.09 = 6,176.22/x
  3. Step 3: Cross multiply
    9,315.78x = 12,861.09 × 6,176.22
  4. Step 4: Simplify right side
    9,315.78x = 79,432,921.28
  5. Step 5: Solve for x
    x = 79,432,921.28/9,315.78
  6. Step 6: Final answer
    x = 8,526.71

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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.