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Finding the Fourth Proportional to 7,010.20, 9,674.09 and 3,823.50

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Solution

The fourth proportional to 7,010.20, 9,674.09 and 3,823.50 is: 5,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.20 : 9,674.09 = 3,823.50 : x
  2. Step 2: Convert to fraction form
    7,010.20/9,674.09 = 3,823.50/x
  3. Step 3: Cross multiply
    7,010.20x = 9,674.09 × 3,823.50
  4. Step 4: Simplify right side
    7,010.20x = 36,988,883.12
  5. Step 5: Solve for x
    x = 36,988,883.12/7,010.20
  6. Step 6: Final answer
    x = 5,276.44

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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.