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Finding the Fourth Proportional to 6,317.10, 9,465.16 and 3,844.44

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Solution

The fourth proportional to 6,317.10, 9,465.16 and 3,844.44 is: 5,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.10 : 9,465.16 = 3,844.44 : x
  2. Step 2: Convert to fraction form
    6,317.10/9,465.16 = 3,844.44/x
  3. Step 3: Cross multiply
    6,317.10x = 9,465.16 × 3,844.44
  4. Step 4: Simplify right side
    6,317.10x = 36,388,239.71
  5. Step 5: Solve for x
    x = 36,388,239.71/6,317.10
  6. Step 6: Final answer
    x = 5,760.28

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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.