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Finding the Fourth Proportional to 6,176.44, 9,254.46 and 4,533.64

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Solution

The fourth proportional to 6,176.44, 9,254.46 and 4,533.64 is: 6,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.44 : 9,254.46 = 4,533.64 : x
  2. Step 2: Convert to fraction form
    6,176.44/9,254.46 = 4,533.64/x
  3. Step 3: Cross multiply
    6,176.44x = 9,254.46 × 4,533.64
  4. Step 4: Simplify right side
    6,176.44x = 41,956,390.03
  5. Step 5: Solve for x
    x = 41,956,390.03/6,176.44
  6. Step 6: Final answer
    x = 6,792.97

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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.