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Finding the Fourth Proportional to 9,208.28, 12,706.27 and 5,228.55

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Solution

The fourth proportional to 9,208.28, 12,706.27 and 5,228.55 is: 7,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.28 : 12,706.27 = 5,228.55 : x
  2. Step 2: Convert to fraction form
    9,208.28/12,706.27 = 5,228.55/x
  3. Step 3: Cross multiply
    9,208.28x = 12,706.27 × 5,228.55
  4. Step 4: Simplify right side
    9,208.28x = 66,435,354.94
  5. Step 5: Solve for x
    x = 66,435,354.94/9,208.28
  6. Step 6: Final answer
    x = 7,214.74

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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.