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Finding the Fourth Proportional to 8,406.81, 11,604.47 and 6,832.17

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Solution

The fourth proportional to 8,406.81, 11,604.47 and 6,832.17 is: 9,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.81 : 11,604.47 = 6,832.17 : x
  2. Step 2: Convert to fraction form
    8,406.81/11,604.47 = 6,832.17/x
  3. Step 3: Cross multiply
    8,406.81x = 11,604.47 × 6,832.17
  4. Step 4: Simplify right side
    8,406.81x = 79,283,677.64
  5. Step 5: Solve for x
    x = 79,283,677.64/8,406.81
  6. Step 6: Final answer
    x = 9,430.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.