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Finding the Fourth Proportional to 6,216.09, 9,317.37 and 3,098.40

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Solution

The fourth proportional to 6,216.09, 9,317.37 and 3,098.40 is: 4,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.09 : 9,317.37 = 3,098.40 : x
  2. Step 2: Convert to fraction form
    6,216.09/9,317.37 = 3,098.40/x
  3. Step 3: Cross multiply
    6,216.09x = 9,317.37 × 3,098.40
  4. Step 4: Simplify right side
    6,216.09x = 28,868,939.21
  5. Step 5: Solve for x
    x = 28,868,939.21/6,216.09
  6. Step 6: Final answer
    x = 4,644.23

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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.