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Finding the Fourth Proportional to 7,010.35, 9,674.40 and 3,823.67

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Solution

The fourth proportional to 7,010.35, 9,674.40 and 3,823.67 is: 5,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.35 : 9,674.40 = 3,823.67 : x
  2. Step 2: Convert to fraction form
    7,010.35/9,674.40 = 3,823.67/x
  3. Step 3: Cross multiply
    7,010.35x = 9,674.40 × 3,823.67
  4. Step 4: Simplify right side
    7,010.35x = 36,991,664.68
  5. Step 5: Solve for x
    x = 36,991,664.68/7,010.35
  6. Step 6: Final answer
    x = 5,276.72

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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.