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Finding the Fourth Proportional to 6,504.35, 8,969.85 and 4,268.16

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Solution

The fourth proportional to 6,504.35, 8,969.85 and 4,268.16 is: 5,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.35 : 8,969.85 = 4,268.16 : x
  2. Step 2: Convert to fraction form
    6,504.35/8,969.85 = 4,268.16/x
  3. Step 3: Cross multiply
    6,504.35x = 8,969.85 × 4,268.16
  4. Step 4: Simplify right side
    6,504.35x = 38,284,754.98
  5. Step 5: Solve for x
    x = 38,284,754.98/6,504.35
  6. Step 6: Final answer
    x = 5,886.03

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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.