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Finding the Fourth Proportional to 9,078.14, 13,617.22 and 2,506.22

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Solution

The fourth proportional to 9,078.14, 13,617.22 and 2,506.22 is: 3,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.14 : 13,617.22 = 2,506.22 : x
  2. Step 2: Convert to fraction form
    9,078.14/13,617.22 = 2,506.22/x
  3. Step 3: Cross multiply
    9,078.14x = 13,617.22 × 2,506.22
  4. Step 4: Simplify right side
    9,078.14x = 34,127,749.11
  5. Step 5: Solve for x
    x = 34,127,749.11/9,078.14
  6. Step 6: Final answer
    x = 3,759.33

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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.