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Finding the Fourth Proportional to 9,380.80, 14,070.25 and 2,806.98

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Solution

The fourth proportional to 9,380.80, 14,070.25 and 2,806.98 is: 4,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.80 : 14,070.25 = 2,806.98 : x
  2. Step 2: Convert to fraction form
    9,380.80/14,070.25 = 2,806.98/x
  3. Step 3: Cross multiply
    9,380.80x = 14,070.25 × 2,806.98
  4. Step 4: Simplify right side
    9,380.80x = 39,494,910.35
  5. Step 5: Solve for x
    x = 39,494,910.35/9,380.80
  6. Step 6: Final answer
    x = 4,210.19

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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.