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Finding the Fourth Proportional to 6,224.34, 9,333.77 and 1,842.14

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Solution

The fourth proportional to 6,224.34, 9,333.77 and 1,842.14 is: 2,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.34 : 9,333.77 = 1,842.14 : x
  2. Step 2: Convert to fraction form
    6,224.34/9,333.77 = 1,842.14/x
  3. Step 3: Cross multiply
    6,224.34x = 9,333.77 × 1,842.14
  4. Step 4: Simplify right side
    6,224.34x = 17,194,064.40
  5. Step 5: Solve for x
    x = 17,194,064.40/6,224.34
  6. Step 6: Final answer
    x = 2,762.39

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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.