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Finding the Fourth Proportional to 7,128.71, 9,837.23 and 3,941.82

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Solution

The fourth proportional to 7,128.71, 9,837.23 and 3,941.82 is: 5,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.71 : 9,837.23 = 3,941.82 : x
  2. Step 2: Convert to fraction form
    7,128.71/9,837.23 = 3,941.82/x
  3. Step 3: Cross multiply
    7,128.71x = 9,837.23 × 3,941.82
  4. Step 4: Simplify right side
    7,128.71x = 38,776,570.25
  5. Step 5: Solve for x
    x = 38,776,570.25/7,128.71
  6. Step 6: Final answer
    x = 5,439.49

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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.