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Finding the Fourth Proportional to 9,571.34, 13,204.70 and 7,059.48

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Solution

The fourth proportional to 9,571.34, 13,204.70 and 7,059.48 is: 9,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.34 : 13,204.70 = 7,059.48 : x
  2. Step 2: Convert to fraction form
    9,571.34/13,204.70 = 7,059.48/x
  3. Step 3: Cross multiply
    9,571.34x = 13,204.70 × 7,059.48
  4. Step 4: Simplify right side
    9,571.34x = 93,218,315.56
  5. Step 5: Solve for x
    x = 93,218,315.56/9,571.34
  6. Step 6: Final answer
    x = 9,739.32

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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.