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Finding the Fourth Proportional to 9,825.96, 14,737.98 and 2,806.44

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Solution

The fourth proportional to 9,825.96, 14,737.98 and 2,806.44 is: 4,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.96 : 14,737.98 = 2,806.44 : x
  2. Step 2: Convert to fraction form
    9,825.96/14,737.98 = 2,806.44/x
  3. Step 3: Cross multiply
    9,825.96x = 14,737.98 × 2,806.44
  4. Step 4: Simplify right side
    9,825.96x = 41,361,256.59
  5. Step 5: Solve for x
    x = 41,361,256.59/9,825.96
  6. Step 6: Final answer
    x = 4,209.39

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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.