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Finding the Fourth Proportional to 9,422.40, 13,003.68 and 5,232

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Solution

The fourth proportional to 9,422.40, 13,003.68 and 5,232 is: 7,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.40 : 13,003.68 = 5,232 : x
  2. Step 2: Convert to fraction form
    9,422.40/13,003.68 = 5,232/x
  3. Step 3: Cross multiply
    9,422.40x = 13,003.68 × 5,232
  4. Step 4: Simplify right side
    9,422.40x = 68,035,253.76
  5. Step 5: Solve for x
    x = 68,035,253.76/9,422.40
  6. Step 6: Final answer
    x = 7,220.59

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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.