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Finding the Fourth Proportional to 9,836.64, 13,573.53 and 5,857.23

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Solution

The fourth proportional to 9,836.64, 13,573.53 and 5,857.23 is: 8,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.64 : 13,573.53 = 5,857.23 : x
  2. Step 2: Convert to fraction form
    9,836.64/13,573.53 = 5,857.23/x
  3. Step 3: Cross multiply
    9,836.64x = 13,573.53 × 5,857.23
  4. Step 4: Simplify right side
    9,836.64x = 79,503,287.12
  5. Step 5: Solve for x
    x = 79,503,287.12/9,836.64
  6. Step 6: Final answer
    x = 8,082.36

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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.