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Finding the Fourth Proportional to 9,383.74, 14,080.47 and 6,807.94

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Solution

The fourth proportional to 9,383.74, 14,080.47 and 6,807.94 is: 10,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.74 : 14,080.47 = 6,807.94 : x
  2. Step 2: Convert to fraction form
    9,383.74/14,080.47 = 6,807.94/x
  3. Step 3: Cross multiply
    9,383.74x = 14,080.47 × 6,807.94
  4. Step 4: Simplify right side
    9,383.74x = 95,858,994.93
  5. Step 5: Solve for x
    x = 95,858,994.93/9,383.74
  6. Step 6: Final answer
    x = 10,215.44

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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.