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Finding the Fourth Proportional to 7,004.98, 9,667.23 and 3,861.16

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Solution

The fourth proportional to 7,004.98, 9,667.23 and 3,861.16 is: 5,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.98 : 9,667.23 = 3,861.16 : x
  2. Step 2: Convert to fraction form
    7,004.98/9,667.23 = 3,861.16/x
  3. Step 3: Cross multiply
    7,004.98x = 9,667.23 × 3,861.16
  4. Step 4: Simplify right side
    7,004.98x = 37,326,721.79
  5. Step 5: Solve for x
    x = 37,326,721.79/7,004.98
  6. Step 6: Final answer
    x = 5,328.60

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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.