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Finding the Fourth Proportional to 7,010.45, 9,674.30 and 3,823.64

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Solution

The fourth proportional to 7,010.45, 9,674.30 and 3,823.64 is: 5,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.45 : 9,674.30 = 3,823.64 : x
  2. Step 2: Convert to fraction form
    7,010.45/9,674.30 = 3,823.64/x
  3. Step 3: Cross multiply
    7,010.45x = 9,674.30 × 3,823.64
  4. Step 4: Simplify right side
    7,010.45x = 36,991,040.45
  5. Step 5: Solve for x
    x = 36,991,040.45/7,010.45
  6. Step 6: Final answer
    x = 5,276.56

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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.