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Finding the Fourth Proportional to 6,128.80, 9,193.14 and 1,969.24

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Solution

The fourth proportional to 6,128.80, 9,193.14 and 1,969.24 is: 2,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.80 : 9,193.14 = 1,969.24 : x
  2. Step 2: Convert to fraction form
    6,128.80/9,193.14 = 1,969.24/x
  3. Step 3: Cross multiply
    6,128.80x = 9,193.14 × 1,969.24
  4. Step 4: Simplify right side
    6,128.80x = 18,103,499.01
  5. Step 5: Solve for x
    x = 18,103,499.01/6,128.80
  6. Step 6: Final answer
    x = 2,953.84

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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.