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Finding the Fourth Proportional to 9,214.91, 12,706.53 and 6,225.56

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Solution

The fourth proportional to 9,214.91, 12,706.53 and 6,225.56 is: 8,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.91 : 12,706.53 = 6,225.56 : x
  2. Step 2: Convert to fraction form
    9,214.91/12,706.53 = 6,225.56/x
  3. Step 3: Cross multiply
    9,214.91x = 12,706.53 × 6,225.56
  4. Step 4: Simplify right side
    9,214.91x = 79,105,201.37
  5. Step 5: Solve for x
    x = 79,105,201.37/9,214.91
  6. Step 6: Final answer
    x = 8,584.48

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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.