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Finding the Fourth Proportional to 6,147.46, 8,473.16 and 4,968.10

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Solution

The fourth proportional to 6,147.46, 8,473.16 and 4,968.10 is: 6,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.46 : 8,473.16 = 4,968.10 : x
  2. Step 2: Convert to fraction form
    6,147.46/8,473.16 = 4,968.10/x
  3. Step 3: Cross multiply
    6,147.46x = 8,473.16 × 4,968.10
  4. Step 4: Simplify right side
    6,147.46x = 42,095,506.20
  5. Step 5: Solve for x
    x = 42,095,506.20/6,147.46
  6. Step 6: Final answer
    x = 6,847.63

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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.