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Finding the Fourth Proportional to 7,005.50, 9,667.61 and 3,818.83

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Solution

The fourth proportional to 7,005.50, 9,667.61 and 3,818.83 is: 5,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.50 : 9,667.61 = 3,818.83 : x
  2. Step 2: Convert to fraction form
    7,005.50/9,667.61 = 3,818.83/x
  3. Step 3: Cross multiply
    7,005.50x = 9,667.61 × 3,818.83
  4. Step 4: Simplify right side
    7,005.50x = 36,918,901.21
  5. Step 5: Solve for x
    x = 36,918,901.21/7,005.50
  6. Step 6: Final answer
    x = 5,269.99

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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.