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Finding the Fourth Proportional to 9,178.82, 13,768.17 and 2,605.01

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Solution

The fourth proportional to 9,178.82, 13,768.17 and 2,605.01 is: 3,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.82 : 13,768.17 = 2,605.01 : x
  2. Step 2: Convert to fraction form
    9,178.82/13,768.17 = 2,605.01/x
  3. Step 3: Cross multiply
    9,178.82x = 13,768.17 × 2,605.01
  4. Step 4: Simplify right side
    9,178.82x = 35,866,220.53
  5. Step 5: Solve for x
    x = 35,866,220.53/9,178.82
  6. Step 6: Final answer
    x = 3,907.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.