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Finding the Fourth Proportional to 6,506.67, 8,977.09 and 3,986.16

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Solution

The fourth proportional to 6,506.67, 8,977.09 and 3,986.16 is: 5,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.67 : 8,977.09 = 3,986.16 : x
  2. Step 2: Convert to fraction form
    6,506.67/8,977.09 = 3,986.16/x
  3. Step 3: Cross multiply
    6,506.67x = 8,977.09 × 3,986.16
  4. Step 4: Simplify right side
    6,506.67x = 35,784,117.07
  5. Step 5: Solve for x
    x = 35,784,117.07/6,506.67
  6. Step 6: Final answer
    x = 5,499.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.