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Finding the Fourth Proportional to 6,455.93, 9,674.66 and 3,676.86

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Solution

The fourth proportional to 6,455.93, 9,674.66 and 3,676.86 is: 5,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.93 : 9,674.66 = 3,676.86 : x
  2. Step 2: Convert to fraction form
    6,455.93/9,674.66 = 3,676.86/x
  3. Step 3: Cross multiply
    6,455.93x = 9,674.66 × 3,676.86
  4. Step 4: Simplify right side
    6,455.93x = 35,572,351.98
  5. Step 5: Solve for x
    x = 35,572,351.98/6,455.93
  6. Step 6: Final answer
    x = 5,510.03

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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.