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Finding the Fourth Proportional to 7,127.61, 9,836.07 and 3,941.07

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Solution

The fourth proportional to 7,127.61, 9,836.07 and 3,941.07 is: 5,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.61 : 9,836.07 = 3,941.07 : x
  2. Step 2: Convert to fraction form
    7,127.61/9,836.07 = 3,941.07/x
  3. Step 3: Cross multiply
    7,127.61x = 9,836.07 × 3,941.07
  4. Step 4: Simplify right side
    7,127.61x = 38,764,640.39
  5. Step 5: Solve for x
    x = 38,764,640.39/7,127.61
  6. Step 6: Final answer
    x = 5,438.66

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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.