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Finding the Fourth Proportional to 6,990.29, 9,646.83 and 4,006.69

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Solution

The fourth proportional to 6,990.29, 9,646.83 and 4,006.69 is: 5,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.29 : 9,646.83 = 4,006.69 : x
  2. Step 2: Convert to fraction form
    6,990.29/9,646.83 = 4,006.69/x
  3. Step 3: Cross multiply
    6,990.29x = 9,646.83 × 4,006.69
  4. Step 4: Simplify right side
    6,990.29x = 38,651,857.29
  5. Step 5: Solve for x
    x = 38,651,857.29/6,990.29
  6. Step 6: Final answer
    x = 5,529.36

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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.