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Finding the Fourth Proportional to 7,060.47, 9,744.62 and 3,917.67

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Solution

The fourth proportional to 7,060.47, 9,744.62 and 3,917.67 is: 5,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.47 : 9,744.62 = 3,917.67 : x
  2. Step 2: Convert to fraction form
    7,060.47/9,744.62 = 3,917.67/x
  3. Step 3: Cross multiply
    7,060.47x = 9,744.62 × 3,917.67
  4. Step 4: Simplify right side
    7,060.47x = 38,176,205.44
  5. Step 5: Solve for x
    x = 38,176,205.44/7,060.47
  6. Step 6: Final answer
    x = 5,407.03

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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.