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Finding the Fourth Proportional to 7,005.42, 9,667.49 and 3,861.59

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Solution

The fourth proportional to 7,005.42, 9,667.49 and 3,861.59 is: 5,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.42 : 9,667.49 = 3,861.59 : x
  2. Step 2: Convert to fraction form
    7,005.42/9,667.49 = 3,861.59/x
  3. Step 3: Cross multiply
    7,005.42x = 9,667.49 × 3,861.59
  4. Step 4: Simplify right side
    7,005.42x = 37,331,815.06
  5. Step 5: Solve for x
    x = 37,331,815.06/7,005.42
  6. Step 6: Final answer
    x = 5,328.99

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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.