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Finding the Fourth Proportional to 7,127.14, 9,834.61 and 3,940.01

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Solution

The fourth proportional to 7,127.14, 9,834.61 and 3,940.01 is: 5,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.14 : 9,834.61 = 3,940.01 : x
  2. Step 2: Convert to fraction form
    7,127.14/9,834.61 = 3,940.01/x
  3. Step 3: Cross multiply
    7,127.14x = 9,834.61 × 3,940.01
  4. Step 4: Simplify right side
    7,127.14x = 38,748,392.87
  5. Step 5: Solve for x
    x = 38,748,392.87/7,127.14
  6. Step 6: Final answer
    x = 5,436.74

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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.