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Finding the Fourth Proportional to 6,303.27, 9,455.43 and 1,920.75

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Solution

The fourth proportional to 6,303.27, 9,455.43 and 1,920.75 is: 2,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.27 : 9,455.43 = 1,920.75 : x
  2. Step 2: Convert to fraction form
    6,303.27/9,455.43 = 1,920.75/x
  3. Step 3: Cross multiply
    6,303.27x = 9,455.43 × 1,920.75
  4. Step 4: Simplify right side
    6,303.27x = 18,161,517.17
  5. Step 5: Solve for x
    x = 18,161,517.17/6,303.27
  6. Step 6: Final answer
    x = 2,881.28

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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.