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Finding the Fourth Proportional to 9,728.64, 13,426.56 and 6,000

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Solution

The fourth proportional to 9,728.64, 13,426.56 and 6,000 is: 8,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.64 : 13,426.56 = 6,000 : x
  2. Step 2: Convert to fraction form
    9,728.64/13,426.56 = 6,000/x
  3. Step 3: Cross multiply
    9,728.64x = 13,426.56 × 6,000
  4. Step 4: Simplify right side
    9,728.64x = 80,559,360
  5. Step 5: Solve for x
    x = 80,559,360/9,728.64
  6. Step 6: Final answer
    x = 8,280.64

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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.