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Finding the Fourth Proportional to 6,271.60, 9,406.74 and 2,574.22

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Solution

The fourth proportional to 6,271.60, 9,406.74 and 2,574.22 is: 3,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.60 : 9,406.74 = 2,574.22 : x
  2. Step 2: Convert to fraction form
    6,271.60/9,406.74 = 2,574.22/x
  3. Step 3: Cross multiply
    6,271.60x = 9,406.74 × 2,574.22
  4. Step 4: Simplify right side
    6,271.60x = 24,215,018.24
  5. Step 5: Solve for x
    x = 24,215,018.24/6,271.60
  6. Step 6: Final answer
    x = 3,861.06

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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.