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Finding the Fourth Proportional to 9,836.94, 13,563.17 and 8,037.77

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Solution

The fourth proportional to 9,836.94, 13,563.17 and 8,037.77 is: 11,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.94 : 13,563.17 = 8,037.77 : x
  2. Step 2: Convert to fraction form
    9,836.94/13,563.17 = 8,037.77/x
  3. Step 3: Cross multiply
    9,836.94x = 13,563.17 × 8,037.77
  4. Step 4: Simplify right side
    9,836.94x = 109,017,532.93
  5. Step 5: Solve for x
    x = 109,017,532.93/9,836.94
  6. Step 6: Final answer
    x = 11,082.46

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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.