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Finding the Fourth Proportional to 9,868.97, 13,618.88 and 5,892.74

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Solution

The fourth proportional to 9,868.97, 13,618.88 and 5,892.74 is: 8,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.97 : 13,618.88 = 5,892.74 : x
  2. Step 2: Convert to fraction form
    9,868.97/13,618.88 = 5,892.74/x
  3. Step 3: Cross multiply
    9,868.97x = 13,618.88 × 5,892.74
  4. Step 4: Simplify right side
    9,868.97x = 80,252,421.37
  5. Step 5: Solve for x
    x = 80,252,421.37/9,868.97
  6. Step 6: Final answer
    x = 8,131.80

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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.