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Finding the Fourth Proportional to 31,300.62, 46,958.63 and 9,114.20

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Solution

The fourth proportional to 31,300.62, 46,958.63 and 9,114.20 is: 13,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300.62 : 46,958.63 = 9,114.20 : x
  2. Step 2: Convert to fraction form
    31,300.62/46,958.63 = 9,114.20/x
  3. Step 3: Cross multiply
    31,300.62x = 46,958.63 × 9,114.20
  4. Step 4: Simplify right side
    31,300.62x = 427,990,241.28
  5. Step 5: Solve for x
    x = 427,990,241.28/31,300.62
  6. Step 6: Final answer
    x = 13,673.54

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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.