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Finding the Fourth Proportional to 6,315.06, 8,713.77 and 3,661.95

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Solution

The fourth proportional to 6,315.06, 8,713.77 and 3,661.95 is: 5,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.06 : 8,713.77 = 3,661.95 : x
  2. Step 2: Convert to fraction form
    6,315.06/8,713.77 = 3,661.95/x
  3. Step 3: Cross multiply
    6,315.06x = 8,713.77 × 3,661.95
  4. Step 4: Simplify right side
    6,315.06x = 31,909,390.05
  5. Step 5: Solve for x
    x = 31,909,390.05/6,315.06
  6. Step 6: Final answer
    x = 5,052.90

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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.