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Finding the Fourth Proportional to 6,975.92, 9,623.30 and 4,142

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Solution

The fourth proportional to 6,975.92, 9,623.30 and 4,142 is: 5,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.92 : 9,623.30 = 4,142 : x
  2. Step 2: Convert to fraction form
    6,975.92/9,623.30 = 4,142/x
  3. Step 3: Cross multiply
    6,975.92x = 9,623.30 × 4,142
  4. Step 4: Simplify right side
    6,975.92x = 39,859,708.60
  5. Step 5: Solve for x
    x = 39,859,708.60/6,975.92
  6. Step 6: Final answer
    x = 5,713.90

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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.