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Finding the Fourth Proportional to 7,146.47, 9,862.43 and 4,161.83

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Solution

The fourth proportional to 7,146.47, 9,862.43 and 4,161.83 is: 5,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.47 : 9,862.43 = 4,161.83 : x
  2. Step 2: Convert to fraction form
    7,146.47/9,862.43 = 4,161.83/x
  3. Step 3: Cross multiply
    7,146.47x = 9,862.43 × 4,161.83
  4. Step 4: Simplify right side
    7,146.47x = 41,045,718.14
  5. Step 5: Solve for x
    x = 41,045,718.14/7,146.47
  6. Step 6: Final answer
    x = 5,743.49

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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.