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Finding the Fourth Proportional to 6,222.25, 9,333.56 and 1,605.25

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Solution

The fourth proportional to 6,222.25, 9,333.56 and 1,605.25 is: 2,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.25 : 9,333.56 = 1,605.25 : x
  2. Step 2: Convert to fraction form
    6,222.25/9,333.56 = 1,605.25/x
  3. Step 3: Cross multiply
    6,222.25x = 9,333.56 × 1,605.25
  4. Step 4: Simplify right side
    6,222.25x = 14,982,697.19
  5. Step 5: Solve for x
    x = 14,982,697.19/6,222.25
  6. Step 6: Final answer
    x = 2,407.92

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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.