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Finding the Fourth Proportional to 9,612.80, 14,420.16 and 3,456

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Solution

The fourth proportional to 9,612.80, 14,420.16 and 3,456 is: 5,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.80 : 14,420.16 = 3,456 : x
  2. Step 2: Convert to fraction form
    9,612.80/14,420.16 = 3,456/x
  3. Step 3: Cross multiply
    9,612.80x = 14,420.16 × 3,456
  4. Step 4: Simplify right side
    9,612.80x = 49,836,072.96
  5. Step 5: Solve for x
    x = 49,836,072.96/9,612.80
  6. Step 6: Final answer
    x = 5,184.35

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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.