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Finding the Fourth Proportional to 9,351.30, 13,960.61 and 8,314.50

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Solution

The fourth proportional to 9,351.30, 13,960.61 and 8,314.50 is: 12,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.30 : 13,960.61 = 8,314.50 : x
  2. Step 2: Convert to fraction form
    9,351.30/13,960.61 = 8,314.50/x
  3. Step 3: Cross multiply
    9,351.30x = 13,960.61 × 8,314.50
  4. Step 4: Simplify right side
    9,351.30x = 116,075,450.27
  5. Step 5: Solve for x
    x = 116,075,450.27/9,351.30
  6. Step 6: Final answer
    x = 12,412.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.