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Finding the Fourth Proportional to 35,852, 53,777.80 and 9,197.88

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Solution

The fourth proportional to 35,852, 53,777.80 and 9,197.88 is: 13,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852 : 53,777.80 = 9,197.88 : x
  2. Step 2: Convert to fraction form
    35,852/53,777.80 = 9,197.88/x
  3. Step 3: Cross multiply
    35,852x = 53,777.80 × 9,197.88
  4. Step 4: Simplify right side
    35,852x = 494,641,751.06
  5. Step 5: Solve for x
    x = 494,641,751.06/35,852
  6. Step 6: Final answer
    x = 13,796.77

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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.