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Finding the Fourth Proportional to 9,433.34, 14,113.43 and 6,806.90

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Solution

The fourth proportional to 9,433.34, 14,113.43 and 6,806.90 is: 10,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.34 : 14,113.43 = 6,806.90 : x
  2. Step 2: Convert to fraction form
    9,433.34/14,113.43 = 6,806.90/x
  3. Step 3: Cross multiply
    9,433.34x = 14,113.43 × 6,806.90
  4. Step 4: Simplify right side
    9,433.34x = 96,068,627.59
  5. Step 5: Solve for x
    x = 96,068,627.59/9,433.34
  6. Step 6: Final answer
    x = 10,183.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.