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Finding the Fourth Proportional to 9,215.77, 13,823.65 and 2,290.27

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Solution

The fourth proportional to 9,215.77, 13,823.65 and 2,290.27 is: 3,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.77 : 13,823.65 = 2,290.27 : x
  2. Step 2: Convert to fraction form
    9,215.77/13,823.65 = 2,290.27/x
  3. Step 3: Cross multiply
    9,215.77x = 13,823.65 × 2,290.27
  4. Step 4: Simplify right side
    9,215.77x = 31,659,850.60
  5. Step 5: Solve for x
    x = 31,659,850.60/9,215.77
  6. Step 6: Final answer
    x = 3,435.40

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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.