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Finding the Fourth Proportional to 9,868.41, 13,618.94 and 5,620.80

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Solution

The fourth proportional to 9,868.41, 13,618.94 and 5,620.80 is: 7,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.41 : 13,618.94 = 5,620.80 : x
  2. Step 2: Convert to fraction form
    9,868.41/13,618.94 = 5,620.80/x
  3. Step 3: Cross multiply
    9,868.41x = 13,618.94 × 5,620.80
  4. Step 4: Simplify right side
    9,868.41x = 76,549,411.88
  5. Step 5: Solve for x
    x = 76,549,411.88/9,868.41
  6. Step 6: Final answer
    x = 7,757.02

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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.