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Finding the Fourth Proportional to 6,415.12, 8,839.74 and 4,733.88

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Solution

The fourth proportional to 6,415.12, 8,839.74 and 4,733.88 is: 6,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.12 : 8,839.74 = 4,733.88 : x
  2. Step 2: Convert to fraction form
    6,415.12/8,839.74 = 4,733.88/x
  3. Step 3: Cross multiply
    6,415.12x = 8,839.74 × 4,733.88
  4. Step 4: Simplify right side
    6,415.12x = 41,846,268.39
  5. Step 5: Solve for x
    x = 41,846,268.39/6,415.12
  6. Step 6: Final answer
    x = 6,523.07

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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.