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Finding the Fourth Proportional to 9,383.81, 14,047.67 and 5,674.82

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Solution

The fourth proportional to 9,383.81, 14,047.67 and 5,674.82 is: 8,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.81 : 14,047.67 = 5,674.82 : x
  2. Step 2: Convert to fraction form
    9,383.81/14,047.67 = 5,674.82/x
  3. Step 3: Cross multiply
    9,383.81x = 14,047.67 × 5,674.82
  4. Step 4: Simplify right side
    9,383.81x = 79,717,998.67
  5. Step 5: Solve for x
    x = 79,717,998.67/9,383.81
  6. Step 6: Final answer
    x = 8,495.27

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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.