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Finding the Fourth Proportional to 6,967.74, 9,615.16 and 3,823.98

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Solution

The fourth proportional to 6,967.74, 9,615.16 and 3,823.98 is: 5,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.74 : 9,615.16 = 3,823.98 : x
  2. Step 2: Convert to fraction form
    6,967.74/9,615.16 = 3,823.98/x
  3. Step 3: Cross multiply
    6,967.74x = 9,615.16 × 3,823.98
  4. Step 4: Simplify right side
    6,967.74x = 36,768,179.54
  5. Step 5: Solve for x
    x = 36,768,179.54/6,967.74
  6. Step 6: Final answer
    x = 5,276.92

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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.