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Finding the Fourth Proportional to 6,643.77, 9,168.36 and 3,659.53

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Solution

The fourth proportional to 6,643.77, 9,168.36 and 3,659.53 is: 5,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.77 : 9,168.36 = 3,659.53 : x
  2. Step 2: Convert to fraction form
    6,643.77/9,168.36 = 3,659.53/x
  3. Step 3: Cross multiply
    6,643.77x = 9,168.36 × 3,659.53
  4. Step 4: Simplify right side
    6,643.77x = 33,551,888.47
  5. Step 5: Solve for x
    x = 33,551,888.47/6,643.77
  6. Step 6: Final answer
    x = 5,050.13

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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.