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Finding the Fourth Proportional to 6,733.77, 9,293.04 and 4,634.25

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Solution

The fourth proportional to 6,733.77, 9,293.04 and 4,634.25 is: 6,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.77 : 9,293.04 = 4,634.25 : x
  2. Step 2: Convert to fraction form
    6,733.77/9,293.04 = 4,634.25/x
  3. Step 3: Cross multiply
    6,733.77x = 9,293.04 × 4,634.25
  4. Step 4: Simplify right side
    6,733.77x = 43,066,270.62
  5. Step 5: Solve for x
    x = 43,066,270.62/6,733.77
  6. Step 6: Final answer
    x = 6,395.57

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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.