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Finding the Fourth Proportional to 9,227.28, 13,841.64 and 2,985

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Solution

The fourth proportional to 9,227.28, 13,841.64 and 2,985 is: 4,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.28 : 13,841.64 = 2,985 : x
  2. Step 2: Convert to fraction form
    9,227.28/13,841.64 = 2,985/x
  3. Step 3: Cross multiply
    9,227.28x = 13,841.64 × 2,985
  4. Step 4: Simplify right side
    9,227.28x = 41,317,295.40
  5. Step 5: Solve for x
    x = 41,317,295.40/9,227.28
  6. Step 6: Final answer
    x = 4,477.73

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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.