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Finding the Fourth Proportional to 9,761.85, 14,648.61 and 8,967.80

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Solution

The fourth proportional to 9,761.85, 14,648.61 and 8,967.80 is: 13,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.85 : 14,648.61 = 8,967.80 : x
  2. Step 2: Convert to fraction form
    9,761.85/14,648.61 = 8,967.80/x
  3. Step 3: Cross multiply
    9,761.85x = 14,648.61 × 8,967.80
  4. Step 4: Simplify right side
    9,761.85x = 131,365,745.72
  5. Step 5: Solve for x
    x = 131,365,745.72/9,761.85
  6. Step 6: Final answer
    x = 13,457.05

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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.