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Finding the Fourth Proportional to 9,468.96, 14,200.31 and 3,142.38

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Solution

The fourth proportional to 9,468.96, 14,200.31 and 3,142.38 is: 4,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.96 : 14,200.31 = 3,142.38 : x
  2. Step 2: Convert to fraction form
    9,468.96/14,200.31 = 3,142.38/x
  3. Step 3: Cross multiply
    9,468.96x = 14,200.31 × 3,142.38
  4. Step 4: Simplify right side
    9,468.96x = 44,622,751.37
  5. Step 5: Solve for x
    x = 44,622,751.37/9,468.96
  6. Step 6: Final answer
    x = 4,712.53

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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.