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Finding the Fourth Proportional to 6,205.95, 9,307.80 and 1,822.41

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Solution

The fourth proportional to 6,205.95, 9,307.80 and 1,822.41 is: 2,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.95 : 9,307.80 = 1,822.41 : x
  2. Step 2: Convert to fraction form
    6,205.95/9,307.80 = 1,822.41/x
  3. Step 3: Cross multiply
    6,205.95x = 9,307.80 × 1,822.41
  4. Step 4: Simplify right side
    6,205.95x = 16,962,627.80
  5. Step 5: Solve for x
    x = 16,962,627.80/6,205.95
  6. Step 6: Final answer
    x = 2,733.28

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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.