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Finding the Fourth Proportional to 6,271.72, 8,636.90 and 6,141.16

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Solution

The fourth proportional to 6,271.72, 8,636.90 and 6,141.16 is: 8,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.72 : 8,636.90 = 6,141.16 : x
  2. Step 2: Convert to fraction form
    6,271.72/8,636.90 = 6,141.16/x
  3. Step 3: Cross multiply
    6,271.72x = 8,636.90 × 6,141.16
  4. Step 4: Simplify right side
    6,271.72x = 53,040,584.80
  5. Step 5: Solve for x
    x = 53,040,584.80/6,271.72
  6. Step 6: Final answer
    x = 8,457.10

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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.