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Finding the Fourth Proportional to 6,346.94, 9,523.10 and 3,421.83

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Solution

The fourth proportional to 6,346.94, 9,523.10 and 3,421.83 is: 5,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.94 : 9,523.10 = 3,421.83 : x
  2. Step 2: Convert to fraction form
    6,346.94/9,523.10 = 3,421.83/x
  3. Step 3: Cross multiply
    6,346.94x = 9,523.10 × 3,421.83
  4. Step 4: Simplify right side
    6,346.94x = 32,586,412.16
  5. Step 5: Solve for x
    x = 32,586,412.16/6,346.94
  6. Step 6: Final answer
    x = 5,134.20

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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.