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Finding the Fourth Proportional to 6,218.40, 9,334.49 and 3,097.58

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Solution

The fourth proportional to 6,218.40, 9,334.49 and 3,097.58 is: 4,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.40 : 9,334.49 = 3,097.58 : x
  2. Step 2: Convert to fraction form
    6,218.40/9,334.49 = 3,097.58/x
  3. Step 3: Cross multiply
    6,218.40x = 9,334.49 × 3,097.58
  4. Step 4: Simplify right side
    6,218.40x = 28,914,267.37
  5. Step 5: Solve for x
    x = 28,914,267.37/6,218.40
  6. Step 6: Final answer
    x = 4,649.79

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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.