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Finding the Fourth Proportional to 6,872.12, 9,483.46 and 3,728.32

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Solution

The fourth proportional to 6,872.12, 9,483.46 and 3,728.32 is: 5,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.12 : 9,483.46 = 3,728.32 : x
  2. Step 2: Convert to fraction form
    6,872.12/9,483.46 = 3,728.32/x
  3. Step 3: Cross multiply
    6,872.12x = 9,483.46 × 3,728.32
  4. Step 4: Simplify right side
    6,872.12x = 35,357,373.59
  5. Step 5: Solve for x
    x = 35,357,373.59/6,872.12
  6. Step 6: Final answer
    x = 5,145.05

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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.