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Finding the Fourth Proportional to 9,211.70, 12,712.88 and 5,234.06

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Solution

The fourth proportional to 9,211.70, 12,712.88 and 5,234.06 is: 7,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.70 : 12,712.88 = 5,234.06 : x
  2. Step 2: Convert to fraction form
    9,211.70/12,712.88 = 5,234.06/x
  3. Step 3: Cross multiply
    9,211.70x = 12,712.88 × 5,234.06
  4. Step 4: Simplify right side
    9,211.70x = 66,539,976.69
  5. Step 5: Solve for x
    x = 66,539,976.69/9,211.70
  6. Step 6: Final answer
    x = 7,223.42

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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.