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Finding the Fourth Proportional to 6,315.06, 8,714.07 and 3,661.50

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Solution

The fourth proportional to 6,315.06, 8,714.07 and 3,661.50 is: 5,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.06 : 8,714.07 = 3,661.50 : x
  2. Step 2: Convert to fraction form
    6,315.06/8,714.07 = 3,661.50/x
  3. Step 3: Cross multiply
    6,315.06x = 8,714.07 × 3,661.50
  4. Step 4: Simplify right side
    6,315.06x = 31,906,567.31
  5. Step 5: Solve for x
    x = 31,906,567.31/6,315.06
  6. Step 6: Final answer
    x = 5,052.46

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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.