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Finding the Fourth Proportional to 9,644.76, 14,449.62 and 8,094.72

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Solution

The fourth proportional to 9,644.76, 14,449.62 and 8,094.72 is: 12,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.76 : 14,449.62 = 8,094.72 : x
  2. Step 2: Convert to fraction form
    9,644.76/14,449.62 = 8,094.72/x
  3. Step 3: Cross multiply
    9,644.76x = 14,449.62 × 8,094.72
  4. Step 4: Simplify right side
    9,644.76x = 116,965,628.01
  5. Step 5: Solve for x
    x = 116,965,628.01/9,644.76
  6. Step 6: Final answer
    x = 12,127.38

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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.