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Finding the Fourth Proportional to 6,323.76, 8,727.16 and 3,670.20

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Solution

The fourth proportional to 6,323.76, 8,727.16 and 3,670.20 is: 5,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.76 : 8,727.16 = 3,670.20 : x
  2. Step 2: Convert to fraction form
    6,323.76/8,727.16 = 3,670.20/x
  3. Step 3: Cross multiply
    6,323.76x = 8,727.16 × 3,670.20
  4. Step 4: Simplify right side
    6,323.76x = 32,030,422.63
  5. Step 5: Solve for x
    x = 32,030,422.63/6,323.76
  6. Step 6: Final answer
    x = 5,065.09

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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.