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Finding the Fourth Proportional to 9,824.54, 13,557.42 and 5,348.28

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Solution

The fourth proportional to 9,824.54, 13,557.42 and 5,348.28 is: 7,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.54 : 13,557.42 = 5,348.28 : x
  2. Step 2: Convert to fraction form
    9,824.54/13,557.42 = 5,348.28/x
  3. Step 3: Cross multiply
    9,824.54x = 13,557.42 × 5,348.28
  4. Step 4: Simplify right side
    9,824.54x = 72,508,878.24
  5. Step 5: Solve for x
    x = 72,508,878.24/9,824.54
  6. Step 6: Final answer
    x = 7,380.39

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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.