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Finding the Fourth Proportional to 6,309.36, 9,468.90 and 4,122.36

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Solution

The fourth proportional to 6,309.36, 9,468.90 and 4,122.36 is: 6,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.36 : 9,468.90 = 4,122.36 : x
  2. Step 2: Convert to fraction form
    6,309.36/9,468.90 = 4,122.36/x
  3. Step 3: Cross multiply
    6,309.36x = 9,468.90 × 4,122.36
  4. Step 4: Simplify right side
    6,309.36x = 39,034,214.60
  5. Step 5: Solve for x
    x = 39,034,214.60/6,309.36
  6. Step 6: Final answer
    x = 6,186.72

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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.