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Finding the Fourth Proportional to 9,204.22, 12,702.14 and 5,225.50

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Solution

The fourth proportional to 9,204.22, 12,702.14 and 5,225.50 is: 7,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.22 : 12,702.14 = 5,225.50 : x
  2. Step 2: Convert to fraction form
    9,204.22/12,702.14 = 5,225.50/x
  3. Step 3: Cross multiply
    9,204.22x = 12,702.14 × 5,225.50
  4. Step 4: Simplify right side
    9,204.22x = 66,375,032.57
  5. Step 5: Solve for x
    x = 66,375,032.57/9,204.22
  6. Step 6: Final answer
    x = 7,211.37

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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.