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Finding the Fourth Proportional to 6,430.21, 9,661.50 and 4,091.27

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Solution

The fourth proportional to 6,430.21, 9,661.50 and 4,091.27 is: 6,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.21 : 9,661.50 = 4,091.27 : x
  2. Step 2: Convert to fraction form
    6,430.21/9,661.50 = 4,091.27/x
  3. Step 3: Cross multiply
    6,430.21x = 9,661.50 × 4,091.27
  4. Step 4: Simplify right side
    6,430.21x = 39,527,756.80
  5. Step 5: Solve for x
    x = 39,527,756.80/6,430.21
  6. Step 6: Final answer
    x = 6,147.20

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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.