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Finding the Fourth Proportional to 9,233.46, 13,912.52 and 7,626.02

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Solution

The fourth proportional to 9,233.46, 13,912.52 and 7,626.02 is: 11,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.46 : 13,912.52 = 7,626.02 : x
  2. Step 2: Convert to fraction form
    9,233.46/13,912.52 = 7,626.02/x
  3. Step 3: Cross multiply
    9,233.46x = 13,912.52 × 7,626.02
  4. Step 4: Simplify right side
    9,233.46x = 106,097,048.08
  5. Step 5: Solve for x
    x = 106,097,048.08/9,233.46
  6. Step 6: Final answer
    x = 11,490.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.