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Finding the Fourth Proportional to 9,883.80, 14,826.49 and 3,310.02

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Solution

The fourth proportional to 9,883.80, 14,826.49 and 3,310.02 is: 4,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.80 : 14,826.49 = 3,310.02 : x
  2. Step 2: Convert to fraction form
    9,883.80/14,826.49 = 3,310.02/x
  3. Step 3: Cross multiply
    9,883.80x = 14,826.49 × 3,310.02
  4. Step 4: Simplify right side
    9,883.80x = 49,075,970.15
  5. Step 5: Solve for x
    x = 49,075,970.15/9,883.80
  6. Step 6: Final answer
    x = 4,965.29

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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.