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Finding the Fourth Proportional to 9,616.32, 14,415.84 and 3,456

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Solution

The fourth proportional to 9,616.32, 14,415.84 and 3,456 is: 5,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.32 : 14,415.84 = 3,456 : x
  2. Step 2: Convert to fraction form
    9,616.32/14,415.84 = 3,456/x
  3. Step 3: Cross multiply
    9,616.32x = 14,415.84 × 3,456
  4. Step 4: Simplify right side
    9,616.32x = 49,821,143.04
  5. Step 5: Solve for x
    x = 49,821,143.04/9,616.32
  6. Step 6: Final answer
    x = 5,180.89

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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.