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Finding the Fourth Proportional to 6,595.67, 9,893.81 and 3,671.77

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Solution

The fourth proportional to 6,595.67, 9,893.81 and 3,671.77 is: 5,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.67 : 9,893.81 = 3,671.77 : x
  2. Step 2: Convert to fraction form
    6,595.67/9,893.81 = 3,671.77/x
  3. Step 3: Cross multiply
    6,595.67x = 9,893.81 × 3,671.77
  4. Step 4: Simplify right side
    6,595.67x = 36,327,794.74
  5. Step 5: Solve for x
    x = 36,327,794.74/6,595.67
  6. Step 6: Final answer
    x = 5,507.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.