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Finding the Fourth Proportional to 6,196.32, 9,292.32 and 3,728.88

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Solution

The fourth proportional to 6,196.32, 9,292.32 and 3,728.88 is: 5,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.32 : 9,292.32 = 3,728.88 : x
  2. Step 2: Convert to fraction form
    6,196.32/9,292.32 = 3,728.88/x
  3. Step 3: Cross multiply
    6,196.32x = 9,292.32 × 3,728.88
  4. Step 4: Simplify right side
    6,196.32x = 34,649,946.20
  5. Step 5: Solve for x
    x = 34,649,946.20/6,196.32
  6. Step 6: Final answer
    x = 5,592.02

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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.