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Finding the Fourth Proportional to 6,733.47, 9,292.26 and 3,749.25

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Solution

The fourth proportional to 6,733.47, 9,292.26 and 3,749.25 is: 5,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.47 : 9,292.26 = 3,749.25 : x
  2. Step 2: Convert to fraction form
    6,733.47/9,292.26 = 3,749.25/x
  3. Step 3: Cross multiply
    6,733.47x = 9,292.26 × 3,749.25
  4. Step 4: Simplify right side
    6,733.47x = 34,839,005.81
  5. Step 5: Solve for x
    x = 34,839,005.81/6,733.47
  6. Step 6: Final answer
    x = 5,174.00

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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.