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Finding the Fourth Proportional to 9,107.14, 12,485.85 and 8,941.06

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Solution

The fourth proportional to 9,107.14, 12,485.85 and 8,941.06 is: 12,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.14 : 12,485.85 = 8,941.06 : x
  2. Step 2: Convert to fraction form
    9,107.14/12,485.85 = 8,941.06/x
  3. Step 3: Cross multiply
    9,107.14x = 12,485.85 × 8,941.06
  4. Step 4: Simplify right side
    9,107.14x = 111,636,734.00
  5. Step 5: Solve for x
    x = 111,636,734.00/9,107.14
  6. Step 6: Final answer
    x = 12,258.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.