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Finding the Fourth Proportional to 9,940.98, 13,718.86 and 5,692.05

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Solution

The fourth proportional to 9,940.98, 13,718.86 and 5,692.05 is: 7,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.98 : 13,718.86 = 5,692.05 : x
  2. Step 2: Convert to fraction form
    9,940.98/13,718.86 = 5,692.05/x
  3. Step 3: Cross multiply
    9,940.98x = 13,718.86 × 5,692.05
  4. Step 4: Simplify right side
    9,940.98x = 78,088,437.06
  5. Step 5: Solve for x
    x = 78,088,437.06/9,940.98
  6. Step 6: Final answer
    x = 7,855.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.