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Finding the Fourth Proportional to 8,872.92, 13,312.44 and 3,946.02

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Solution

The fourth proportional to 8,872.92, 13,312.44 and 3,946.02 is: 5,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872.92 : 13,312.44 = 3,946.02 : x
  2. Step 2: Convert to fraction form
    8,872.92/13,312.44 = 3,946.02/x
  3. Step 3: Cross multiply
    8,872.92x = 13,312.44 × 3,946.02
  4. Step 4: Simplify right side
    8,872.92x = 52,531,154.49
  5. Step 5: Solve for x
    x = 52,531,154.49/8,872.92
  6. Step 6: Final answer
    x = 5,920.39

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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.