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Finding the Fourth Proportional to 9,657.56, 14,461.83 and 8,093.45

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Solution

The fourth proportional to 9,657.56, 14,461.83 and 8,093.45 is: 12,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.56 : 14,461.83 = 8,093.45 : x
  2. Step 2: Convert to fraction form
    9,657.56/14,461.83 = 8,093.45/x
  3. Step 3: Cross multiply
    9,657.56x = 14,461.83 × 8,093.45
  4. Step 4: Simplify right side
    9,657.56x = 117,046,025.70
  5. Step 5: Solve for x
    x = 117,046,025.70/9,657.56
  6. Step 6: Final answer
    x = 12,119.63

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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.