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Finding the Fourth Proportional to 6,218.41, 9,329.84 and 3,098.13

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Solution

The fourth proportional to 6,218.41, 9,329.84 and 3,098.13 is: 4,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.41 : 9,329.84 = 3,098.13 : x
  2. Step 2: Convert to fraction form
    6,218.41/9,329.84 = 3,098.13/x
  3. Step 3: Cross multiply
    6,218.41x = 9,329.84 × 3,098.13
  4. Step 4: Simplify right side
    6,218.41x = 28,905,041.71
  5. Step 5: Solve for x
    x = 28,905,041.71/6,218.41
  6. Step 6: Final answer
    x = 4,648.30

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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.