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Finding the Fourth Proportional to 9,424.40, 13,005.43 and 5,232.38

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Solution

The fourth proportional to 9,424.40, 13,005.43 and 5,232.38 is: 7,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.40 : 13,005.43 = 5,232.38 : x
  2. Step 2: Convert to fraction form
    9,424.40/13,005.43 = 5,232.38/x
  3. Step 3: Cross multiply
    9,424.40x = 13,005.43 × 5,232.38
  4. Step 4: Simplify right side
    9,424.40x = 68,049,273.72
  5. Step 5: Solve for x
    x = 68,049,273.72/9,424.40
  6. Step 6: Final answer
    x = 7,220.55

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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.