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Finding the Fourth Proportional to 7,004.51, 9,666.22 and 3,817.80

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Solution

The fourth proportional to 7,004.51, 9,666.22 and 3,817.80 is: 5,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.51 : 9,666.22 = 3,817.80 : x
  2. Step 2: Convert to fraction form
    7,004.51/9,666.22 = 3,817.80/x
  3. Step 3: Cross multiply
    7,004.51x = 9,666.22 × 3,817.80
  4. Step 4: Simplify right side
    7,004.51x = 36,903,694.72
  5. Step 5: Solve for x
    x = 36,903,694.72/7,004.51
  6. Step 6: Final answer
    x = 5,268.56

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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.