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Finding the Fourth Proportional to 6,686.69, 9,224.73 and 4,032.63

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Solution

The fourth proportional to 6,686.69, 9,224.73 and 4,032.63 is: 5,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.69 : 9,224.73 = 4,032.63 : x
  2. Step 2: Convert to fraction form
    6,686.69/9,224.73 = 4,032.63/x
  3. Step 3: Cross multiply
    6,686.69x = 9,224.73 × 4,032.63
  4. Step 4: Simplify right side
    6,686.69x = 37,199,922.94
  5. Step 5: Solve for x
    x = 37,199,922.94/6,686.69
  6. Step 6: Final answer
    x = 5,563.28

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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.