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Finding the Fourth Proportional to 9,836.64, 13,555.68 and 6,293.70

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Solution

The fourth proportional to 9,836.64, 13,555.68 and 6,293.70 is: 8,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.64 : 13,555.68 = 6,293.70 : x
  2. Step 2: Convert to fraction form
    9,836.64/13,555.68 = 6,293.70/x
  3. Step 3: Cross multiply
    9,836.64x = 13,555.68 × 6,293.70
  4. Step 4: Simplify right side
    9,836.64x = 85,315,383.22
  5. Step 5: Solve for x
    x = 85,315,383.22/9,836.64
  6. Step 6: Final answer
    x = 8,673.22

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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.