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Finding the Fourth Proportional to 6,139.86, 9,209.73 and 4,059.36

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Solution

The fourth proportional to 6,139.86, 9,209.73 and 4,059.36 is: 6,089.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.86 : 9,209.73 = 4,059.36 : x
  2. Step 2: Convert to fraction form
    6,139.86/9,209.73 = 4,059.36/x
  3. Step 3: Cross multiply
    6,139.86x = 9,209.73 × 4,059.36
  4. Step 4: Simplify right side
    6,139.86x = 37,385,609.57
  5. Step 5: Solve for x
    x = 37,385,609.57/6,139.86
  6. Step 6: Final answer
    x = 6,089.00

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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.