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Finding the Fourth Proportional to 9,683.35, 14,512.26 and 3,836.77

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Solution

The fourth proportional to 9,683.35, 14,512.26 and 3,836.77 is: 5,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.35 : 14,512.26 = 3,836.77 : x
  2. Step 2: Convert to fraction form
    9,683.35/14,512.26 = 3,836.77/x
  3. Step 3: Cross multiply
    9,683.35x = 14,512.26 × 3,836.77
  4. Step 4: Simplify right side
    9,683.35x = 55,680,203.80
  5. Step 5: Solve for x
    x = 55,680,203.80/9,683.35
  6. Step 6: Final answer
    x = 5,750.10

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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.