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Finding the Fourth Proportional to 9,178.87, 13,768.28 and 2,605.06

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Solution

The fourth proportional to 9,178.87, 13,768.28 and 2,605.06 is: 3,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.87 : 13,768.28 = 2,605.06 : x
  2. Step 2: Convert to fraction form
    9,178.87/13,768.28 = 2,605.06/x
  3. Step 3: Cross multiply
    9,178.87x = 13,768.28 × 2,605.06
  4. Step 4: Simplify right side
    9,178.87x = 35,867,209.45
  5. Step 5: Solve for x
    x = 35,867,209.45/9,178.87
  6. Step 6: Final answer
    x = 3,907.58

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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.