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Finding the Fourth Proportional to 6,455.16, 9,687.06 and 4,806.54

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Solution

The fourth proportional to 6,455.16, 9,687.06 and 4,806.54 is: 7,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.16 : 9,687.06 = 4,806.54 : x
  2. Step 2: Convert to fraction form
    6,455.16/9,687.06 = 4,806.54/x
  3. Step 3: Cross multiply
    6,455.16x = 9,687.06 × 4,806.54
  4. Step 4: Simplify right side
    6,455.16x = 46,561,241.37
  5. Step 5: Solve for x
    x = 46,561,241.37/6,455.16
  6. Step 6: Final answer
    x = 7,213.03

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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.