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Finding the Fourth Proportional to 6,735.47, 9,293.40 and 3,862.87

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Solution

The fourth proportional to 6,735.47, 9,293.40 and 3,862.87 is: 5,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.47 : 9,293.40 = 3,862.87 : x
  2. Step 2: Convert to fraction form
    6,735.47/9,293.40 = 3,862.87/x
  3. Step 3: Cross multiply
    6,735.47x = 9,293.40 × 3,862.87
  4. Step 4: Simplify right side
    6,735.47x = 35,899,172.82
  5. Step 5: Solve for x
    x = 35,899,172.82/6,735.47
  6. Step 6: Final answer
    x = 5,329.87

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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.