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Finding the Fourth Proportional to 6,205.73, 8,565.89 and 3,973.61

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Solution

The fourth proportional to 6,205.73, 8,565.89 and 3,973.61 is: 5,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.73 : 8,565.89 = 3,973.61 : x
  2. Step 2: Convert to fraction form
    6,205.73/8,565.89 = 3,973.61/x
  3. Step 3: Cross multiply
    6,205.73x = 8,565.89 × 3,973.61
  4. Step 4: Simplify right side
    6,205.73x = 34,037,537.51
  5. Step 5: Solve for x
    x = 34,037,537.51/6,205.73
  6. Step 6: Final answer
    x = 5,484.86

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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.