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Finding the Fourth Proportional to 7,127.81, 9,836.69 and 3,984

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Solution

The fourth proportional to 7,127.81, 9,836.69 and 3,984 is: 5,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.81 : 9,836.69 = 3,984 : x
  2. Step 2: Convert to fraction form
    7,127.81/9,836.69 = 3,984/x
  3. Step 3: Cross multiply
    7,127.81x = 9,836.69 × 3,984
  4. Step 4: Simplify right side
    7,127.81x = 39,189,353.04
  5. Step 5: Solve for x
    x = 39,189,353.04/7,127.81
  6. Step 6: Final answer
    x = 5,498.09

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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.