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Finding the Fourth Proportional to 6,455.55, 9,674.09 and 3,676.49

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Solution

The fourth proportional to 6,455.55, 9,674.09 and 3,676.49 is: 5,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.55 : 9,674.09 = 3,676.49 : x
  2. Step 2: Convert to fraction form
    6,455.55/9,674.09 = 3,676.49/x
  3. Step 3: Cross multiply
    6,455.55x = 9,674.09 × 3,676.49
  4. Step 4: Simplify right side
    6,455.55x = 35,566,655.96
  5. Step 5: Solve for x
    x = 35,566,655.96/6,455.55
  6. Step 6: Final answer
    x = 5,509.47

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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.