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Finding the Fourth Proportional to 9,604.54, 13,250.82 and 5,624.20

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Solution

The fourth proportional to 9,604.54, 13,250.82 and 5,624.20 is: 7,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.54 : 13,250.82 = 5,624.20 : x
  2. Step 2: Convert to fraction form
    9,604.54/13,250.82 = 5,624.20/x
  3. Step 3: Cross multiply
    9,604.54x = 13,250.82 × 5,624.20
  4. Step 4: Simplify right side
    9,604.54x = 74,525,261.84
  5. Step 5: Solve for x
    x = 74,525,261.84/9,604.54
  6. Step 6: Final answer
    x = 7,759.38

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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.