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Finding the Fourth Proportional to 6,421.08, 9,614.16 and 3,336.60

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Solution

The fourth proportional to 6,421.08, 9,614.16 and 3,336.60 is: 4,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.08 : 9,614.16 = 3,336.60 : x
  2. Step 2: Convert to fraction form
    6,421.08/9,614.16 = 3,336.60/x
  3. Step 3: Cross multiply
    6,421.08x = 9,614.16 × 3,336.60
  4. Step 4: Simplify right side
    6,421.08x = 32,078,606.26
  5. Step 5: Solve for x
    x = 32,078,606.26/6,421.08
  6. Step 6: Final answer
    x = 4,995.83

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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.