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Finding the Fourth Proportional to 9,424.36, 14,130.06 and 5,041

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Solution

The fourth proportional to 9,424.36, 14,130.06 and 5,041 is: 7,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.36 : 14,130.06 = 5,041 : x
  2. Step 2: Convert to fraction form
    9,424.36/14,130.06 = 5,041/x
  3. Step 3: Cross multiply
    9,424.36x = 14,130.06 × 5,041
  4. Step 4: Simplify right side
    9,424.36x = 71,229,632.46
  5. Step 5: Solve for x
    x = 71,229,632.46/9,424.36
  6. Step 6: Final answer
    x = 7,558.03

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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.