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Finding the Fourth Proportional to 9,211.78, 12,702.19 and 6,222.42

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Solution

The fourth proportional to 9,211.78, 12,702.19 and 6,222.42 is: 8,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.78 : 12,702.19 = 6,222.42 : x
  2. Step 2: Convert to fraction form
    9,211.78/12,702.19 = 6,222.42/x
  3. Step 3: Cross multiply
    9,211.78x = 12,702.19 × 6,222.42
  4. Step 4: Simplify right side
    9,211.78x = 79,038,361.10
  5. Step 5: Solve for x
    x = 79,038,361.10/9,211.78
  6. Step 6: Final answer
    x = 8,580.14

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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.