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Finding the Fourth Proportional to 6,599.64, 9,107.46 and 3,947.16

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Solution

The fourth proportional to 6,599.64, 9,107.46 and 3,947.16 is: 5,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.64 : 9,107.46 = 3,947.16 : x
  2. Step 2: Convert to fraction form
    6,599.64/9,107.46 = 3,947.16/x
  3. Step 3: Cross multiply
    6,599.64x = 9,107.46 × 3,947.16
  4. Step 4: Simplify right side
    6,599.64x = 35,948,601.81
  5. Step 5: Solve for x
    x = 35,948,601.81/6,599.64
  6. Step 6: Final answer
    x = 5,447.05

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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.