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Finding the Fourth Proportional to 7,006.64, 9,669.42 and 4,022.24

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Solution

The fourth proportional to 7,006.64, 9,669.42 and 4,022.24 is: 5,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.64 : 9,669.42 = 4,022.24 : x
  2. Step 2: Convert to fraction form
    7,006.64/9,669.42 = 4,022.24/x
  3. Step 3: Cross multiply
    7,006.64x = 9,669.42 × 4,022.24
  4. Step 4: Simplify right side
    7,006.64x = 38,892,727.90
  5. Step 5: Solve for x
    x = 38,892,727.90/7,006.64
  6. Step 6: Final answer
    x = 5,550.84

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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.