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Finding the Fourth Proportional to 6,928.68, 10,378.26 and 6,449.16

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Solution

The fourth proportional to 6,928.68, 10,378.26 and 6,449.16 is: 9,660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.68 : 10,378.26 = 6,449.16 : x
  2. Step 2: Convert to fraction form
    6,928.68/10,378.26 = 6,449.16/x
  3. Step 3: Cross multiply
    6,928.68x = 10,378.26 × 6,449.16
  4. Step 4: Simplify right side
    6,928.68x = 66,931,059.26
  5. Step 5: Solve for x
    x = 66,931,059.26/6,928.68
  6. Step 6: Final answer
    x = 9,660.00

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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.