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Finding the Fourth Proportional to 7,005.10, 9,666.99 and 3,861.28

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Solution

The fourth proportional to 7,005.10, 9,666.99 and 3,861.28 is: 5,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.10 : 9,666.99 = 3,861.28 : x
  2. Step 2: Convert to fraction form
    7,005.10/9,666.99 = 3,861.28/x
  3. Step 3: Cross multiply
    7,005.10x = 9,666.99 × 3,861.28
  4. Step 4: Simplify right side
    7,005.10x = 37,326,955.15
  5. Step 5: Solve for x
    x = 37,326,955.15/7,005.10
  6. Step 6: Final answer
    x = 5,328.54

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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.