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Finding the Fourth Proportional to 7,005.79, 9,667.88 and 3,862.27

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Solution

The fourth proportional to 7,005.79, 9,667.88 and 3,862.27 is: 5,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.79 : 9,667.88 = 3,862.27 : x
  2. Step 2: Convert to fraction form
    7,005.79/9,667.88 = 3,862.27/x
  3. Step 3: Cross multiply
    7,005.79x = 9,667.88 × 3,862.27
  4. Step 4: Simplify right side
    7,005.79x = 37,339,943.58
  5. Step 5: Solve for x
    x = 37,339,943.58/7,005.79
  6. Step 6: Final answer
    x = 5,329.87

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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.