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Finding the Fourth Proportional to 7,010.02, 9,674.31 and 3,866.23

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Solution

The fourth proportional to 7,010.02, 9,674.31 and 3,866.23 is: 5,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.02 : 9,674.31 = 3,866.23 : x
  2. Step 2: Convert to fraction form
    7,010.02/9,674.31 = 3,866.23/x
  3. Step 3: Cross multiply
    7,010.02x = 9,674.31 × 3,866.23
  4. Step 4: Simplify right side
    7,010.02x = 37,403,107.55
  5. Step 5: Solve for x
    x = 37,403,107.55/7,010.02
  6. Step 6: Final answer
    x = 5,335.66

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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.