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Finding the Fourth Proportional to 9,567.37, 14,334.09 and 8,166.66

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Solution

The fourth proportional to 9,567.37, 14,334.09 and 8,166.66 is: 12,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.37 : 14,334.09 = 8,166.66 : x
  2. Step 2: Convert to fraction form
    9,567.37/14,334.09 = 8,166.66/x
  3. Step 3: Cross multiply
    9,567.37x = 14,334.09 × 8,166.66
  4. Step 4: Simplify right side
    9,567.37x = 117,061,639.44
  5. Step 5: Solve for x
    x = 117,061,639.44/9,567.37
  6. Step 6: Final answer
    x = 12,235.51

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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.