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Finding the Fourth Proportional to 6,454.36, 9,676.14 and 3,852.28

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Solution

The fourth proportional to 6,454.36, 9,676.14 and 3,852.28 is: 5,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.36 : 9,676.14 = 3,852.28 : x
  2. Step 2: Convert to fraction form
    6,454.36/9,676.14 = 3,852.28/x
  3. Step 3: Cross multiply
    6,454.36x = 9,676.14 × 3,852.28
  4. Step 4: Simplify right side
    6,454.36x = 37,275,200.60
  5. Step 5: Solve for x
    x = 37,275,200.60/6,454.36
  6. Step 6: Final answer
    x = 5,775.20

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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.