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Finding the Fourth Proportional to 6,146.49, 9,197.06 and 3,683.01

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Solution

The fourth proportional to 6,146.49, 9,197.06 and 3,683.01 is: 5,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.49 : 9,197.06 = 3,683.01 : x
  2. Step 2: Convert to fraction form
    6,146.49/9,197.06 = 3,683.01/x
  3. Step 3: Cross multiply
    6,146.49x = 9,197.06 × 3,683.01
  4. Step 4: Simplify right side
    6,146.49x = 33,872,845.54
  5. Step 5: Solve for x
    x = 33,872,845.54/6,146.49
  6. Step 6: Final answer
    x = 5,510.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.