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Finding the Fourth Proportional to 9,868.02, 13,618.02 and 5,891.46

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Solution

The fourth proportional to 9,868.02, 13,618.02 and 5,891.46 is: 8,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.02 : 13,618.02 = 5,891.46 : x
  2. Step 2: Convert to fraction form
    9,868.02/13,618.02 = 5,891.46/x
  3. Step 3: Cross multiply
    9,868.02x = 13,618.02 × 5,891.46
  4. Step 4: Simplify right side
    9,868.02x = 80,229,952.02
  5. Step 5: Solve for x
    x = 80,229,952.02/9,868.02
  6. Step 6: Final answer
    x = 8,130.30

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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.