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Finding the Fourth Proportional to 6,271.72, 9,410 and 3,808.32

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Solution

The fourth proportional to 6,271.72, 9,410 and 3,808.32 is: 5,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.72 : 9,410 = 3,808.32 : x
  2. Step 2: Convert to fraction form
    6,271.72/9,410 = 3,808.32/x
  3. Step 3: Cross multiply
    6,271.72x = 9,410 × 3,808.32
  4. Step 4: Simplify right side
    6,271.72x = 35,836,291.20
  5. Step 5: Solve for x
    x = 35,836,291.20/6,271.72
  6. Step 6: Final answer
    x = 5,713.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.