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Finding the Fourth Proportional to 9,836.19, 13,562.12 and 8,037.02

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Solution

The fourth proportional to 9,836.19, 13,562.12 and 8,037.02 is: 11,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.19 : 13,562.12 = 8,037.02 : x
  2. Step 2: Convert to fraction form
    9,836.19/13,562.12 = 8,037.02/x
  3. Step 3: Cross multiply
    9,836.19x = 13,562.12 × 8,037.02
  4. Step 4: Simplify right side
    9,836.19x = 108,999,083.68
  5. Step 5: Solve for x
    x = 108,999,083.68/9,836.19
  6. Step 6: Final answer
    x = 11,081.43

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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.