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Finding the Fourth Proportional to 6,271.84, 9,410.85 and 4,434.76

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Solution

The fourth proportional to 6,271.84, 9,410.85 and 4,434.76 is: 6,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.84 : 9,410.85 = 4,434.76 : x
  2. Step 2: Convert to fraction form
    6,271.84/9,410.85 = 4,434.76/x
  3. Step 3: Cross multiply
    6,271.84x = 9,410.85 × 4,434.76
  4. Step 4: Simplify right side
    6,271.84x = 41,734,861.15
  5. Step 5: Solve for x
    x = 41,734,861.15/6,271.84
  6. Step 6: Final answer
    x = 6,654.32

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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.