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Finding the Fourth Proportional to 6,485.16, 9,713.88 and 2,782.56

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Solution

The fourth proportional to 6,485.16, 9,713.88 and 2,782.56 is: 4,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.16 : 9,713.88 = 2,782.56 : x
  2. Step 2: Convert to fraction form
    6,485.16/9,713.88 = 2,782.56/x
  3. Step 3: Cross multiply
    6,485.16x = 9,713.88 × 2,782.56
  4. Step 4: Simplify right side
    6,485.16x = 27,029,453.93
  5. Step 5: Solve for x
    x = 27,029,453.93/6,485.16
  6. Step 6: Final answer
    x = 4,167.89

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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.