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Finding the Fourth Proportional to 9,422.98, 13,004.06 and 5,232.04

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Solution

The fourth proportional to 9,422.98, 13,004.06 and 5,232.04 is: 7,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.98 : 13,004.06 = 5,232.04 : x
  2. Step 2: Convert to fraction form
    9,422.98/13,004.06 = 5,232.04/x
  3. Step 3: Cross multiply
    9,422.98x = 13,004.06 × 5,232.04
  4. Step 4: Simplify right side
    9,422.98x = 68,037,762.08
  5. Step 5: Solve for x
    x = 68,037,762.08/9,422.98
  6. Step 6: Final answer
    x = 7,220.41

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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.