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Finding the Fourth Proportional to 6,733.57, 9,291.41 and 3,749.02

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Solution

The fourth proportional to 6,733.57, 9,291.41 and 3,749.02 is: 5,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.57 : 9,291.41 = 3,749.02 : x
  2. Step 2: Convert to fraction form
    6,733.57/9,291.41 = 3,749.02/x
  3. Step 3: Cross multiply
    6,733.57x = 9,291.41 × 3,749.02
  4. Step 4: Simplify right side
    6,733.57x = 34,833,681.92
  5. Step 5: Solve for x
    x = 34,833,681.92/6,733.57
  6. Step 6: Final answer
    x = 5,173.14

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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.