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Finding the Fourth Proportional to 35,847.68, 53,771.40 and 9,193.64

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Solution

The fourth proportional to 35,847.68, 53,771.40 and 9,193.64 is: 13,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847.68 : 53,771.40 = 9,193.64 : x
  2. Step 2: Convert to fraction form
    35,847.68/53,771.40 = 9,193.64/x
  3. Step 3: Cross multiply
    35,847.68x = 53,771.40 × 9,193.64
  4. Step 4: Simplify right side
    35,847.68x = 494,354,893.90
  5. Step 5: Solve for x
    x = 494,354,893.90/35,847.68
  6. Step 6: Final answer
    x = 13,790.43

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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.