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Finding the Fourth Proportional to 9,211.86, 12,712.05 and 5,232.90

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Solution

The fourth proportional to 9,211.86, 12,712.05 and 5,232.90 is: 7,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.86 : 12,712.05 = 5,232.90 : x
  2. Step 2: Convert to fraction form
    9,211.86/12,712.05 = 5,232.90/x
  3. Step 3: Cross multiply
    9,211.86x = 12,712.05 × 5,232.90
  4. Step 4: Simplify right side
    9,211.86x = 66,520,886.45
  5. Step 5: Solve for x
    x = 66,520,886.45/9,211.86
  6. Step 6: Final answer
    x = 7,221.22

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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.