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Finding the Fourth Proportional to 6,328.63, 9,493.40 and 3,406.25

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Solution

The fourth proportional to 6,328.63, 9,493.40 and 3,406.25 is: 5,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.63 : 9,493.40 = 3,406.25 : x
  2. Step 2: Convert to fraction form
    6,328.63/9,493.40 = 3,406.25/x
  3. Step 3: Cross multiply
    6,328.63x = 9,493.40 × 3,406.25
  4. Step 4: Simplify right side
    6,328.63x = 32,336,926.00
  5. Step 5: Solve for x
    x = 32,336,926.00/6,328.63
  6. Step 6: Final answer
    x = 5,109.62

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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.