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Finding the Fourth Proportional to 35,847.18, 53,770.65 and 9,193.14

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Solution

The fourth proportional to 35,847.18, 53,770.65 and 9,193.14 is: 13,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847.18 : 53,770.65 = 9,193.14 : x
  2. Step 2: Convert to fraction form
    35,847.18/53,770.65 = 9,193.14/x
  3. Step 3: Cross multiply
    35,847.18x = 53,770.65 × 9,193.14
  4. Step 4: Simplify right side
    35,847.18x = 494,321,113.34
  5. Step 5: Solve for x
    x = 494,321,113.34/35,847.18
  6. Step 6: Final answer
    x = 13,789.68

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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.