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Finding the Fourth Proportional to 7,774.12, 11,661.27 and 6,223.98

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Solution

The fourth proportional to 7,774.12, 11,661.27 and 6,223.98 is: 9,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.12 : 11,661.27 = 6,223.98 : x
  2. Step 2: Convert to fraction form
    7,774.12/11,661.27 = 6,223.98/x
  3. Step 3: Cross multiply
    7,774.12x = 11,661.27 × 6,223.98
  4. Step 4: Simplify right side
    7,774.12x = 72,579,511.25
  5. Step 5: Solve for x
    x = 72,579,511.25/7,774.12
  6. Step 6: Final answer
    x = 9,336.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.