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Finding the Fourth Proportional to 8,369.46, 11,561.22 and 6,702.84

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Solution

The fourth proportional to 8,369.46, 11,561.22 and 6,702.84 is: 9,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.46 : 11,561.22 = 6,702.84 : x
  2. Step 2: Convert to fraction form
    8,369.46/11,561.22 = 6,702.84/x
  3. Step 3: Cross multiply
    8,369.46x = 11,561.22 × 6,702.84
  4. Step 4: Simplify right side
    8,369.46x = 77,493,007.86
  5. Step 5: Solve for x
    x = 77,493,007.86/8,369.46
  6. Step 6: Final answer
    x = 9,259.02

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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.