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Finding the Fourth Proportional to 9,302, 12,838.38 and 5,576

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Solution

The fourth proportional to 9,302, 12,838.38 and 5,576 is: 7,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302 : 12,838.38 = 5,576 : x
  2. Step 2: Convert to fraction form
    9,302/12,838.38 = 5,576/x
  3. Step 3: Cross multiply
    9,302x = 12,838.38 × 5,576
  4. Step 4: Simplify right side
    9,302x = 71,586,806.88
  5. Step 5: Solve for x
    x = 71,586,806.88/9,302
  6. Step 6: Final answer
    x = 7,695.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.