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Finding the Fourth Proportional to 6,623.92, 9,942 and 3,853.72

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Solution

The fourth proportional to 6,623.92, 9,942 and 3,853.72 is: 5,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.92 : 9,942 = 3,853.72 : x
  2. Step 2: Convert to fraction form
    6,623.92/9,942 = 3,853.72/x
  3. Step 3: Cross multiply
    6,623.92x = 9,942 × 3,853.72
  4. Step 4: Simplify right side
    6,623.92x = 38,313,684.24
  5. Step 5: Solve for x
    x = 38,313,684.24/6,623.92
  6. Step 6: Final answer
    x = 5,784.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.