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Finding the Fourth Proportional to 6,572.58, 9,873.77 and 3,806.02

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Solution

The fourth proportional to 6,572.58, 9,873.77 and 3,806.02 is: 5,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.58 : 9,873.77 = 3,806.02 : x
  2. Step 2: Convert to fraction form
    6,572.58/9,873.77 = 3,806.02/x
  3. Step 3: Cross multiply
    6,572.58x = 9,873.77 × 3,806.02
  4. Step 4: Simplify right side
    6,572.58x = 37,579,759.41
  5. Step 5: Solve for x
    x = 37,579,759.41/6,572.58
  6. Step 6: Final answer
    x = 5,717.66

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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.