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Finding the Fourth Proportional to 6,271.20, 8,634.54 and 5,325

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Solution

The fourth proportional to 6,271.20, 8,634.54 and 5,325 is: 7,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.20 : 8,634.54 = 5,325 : x
  2. Step 2: Convert to fraction form
    6,271.20/8,634.54 = 5,325/x
  3. Step 3: Cross multiply
    6,271.20x = 8,634.54 × 5,325
  4. Step 4: Simplify right side
    6,271.20x = 45,978,925.50
  5. Step 5: Solve for x
    x = 45,978,925.50/6,271.20
  6. Step 6: Final answer
    x = 7,331.76

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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.