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Finding the Fourth Proportional to 7,087.81, 9,780.93 and 3,901.09

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Solution

The fourth proportional to 7,087.81, 9,780.93 and 3,901.09 is: 5,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.81 : 9,780.93 = 3,901.09 : x
  2. Step 2: Convert to fraction form
    7,087.81/9,780.93 = 3,901.09/x
  3. Step 3: Cross multiply
    7,087.81x = 9,780.93 × 3,901.09
  4. Step 4: Simplify right side
    7,087.81x = 38,156,288.21
  5. Step 5: Solve for x
    x = 38,156,288.21/7,087.81
  6. Step 6: Final answer
    x = 5,383.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.