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Finding the Fourth Proportional to 6,643.77, 9,168.17 and 4,288.29

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Solution

The fourth proportional to 6,643.77, 9,168.17 and 4,288.29 is: 5,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.77 : 9,168.17 = 4,288.29 : x
  2. Step 2: Convert to fraction form
    6,643.77/9,168.17 = 4,288.29/x
  3. Step 3: Cross multiply
    6,643.77x = 9,168.17 × 4,288.29
  4. Step 4: Simplify right side
    6,643.77x = 39,315,750.29
  5. Step 5: Solve for x
    x = 39,315,750.29/6,643.77
  6. Step 6: Final answer
    x = 5,917.69

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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.