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Finding the Fourth Proportional to 6,728.32, 10,049.42 and 6,094.15

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Solution

The fourth proportional to 6,728.32, 10,049.42 and 6,094.15 is: 9,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.32 : 10,049.42 = 6,094.15 : x
  2. Step 2: Convert to fraction form
    6,728.32/10,049.42 = 6,094.15/x
  3. Step 3: Cross multiply
    6,728.32x = 10,049.42 × 6,094.15
  4. Step 4: Simplify right side
    6,728.32x = 61,242,599.79
  5. Step 5: Solve for x
    x = 61,242,599.79/6,728.32
  6. Step 6: Final answer
    x = 9,102.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.