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Finding the Fourth Proportional to 9,456, 14,186.88 and 3,300

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Solution

The fourth proportional to 9,456, 14,186.88 and 3,300 is: 4,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456 : 14,186.88 = 3,300 : x
  2. Step 2: Convert to fraction form
    9,456/14,186.88 = 3,300/x
  3. Step 3: Cross multiply
    9,456x = 14,186.88 × 3,300
  4. Step 4: Simplify right side
    9,456x = 46,816,704
  5. Step 5: Solve for x
    x = 46,816,704/9,456
  6. Step 6: Final answer
    x = 4,951.01

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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.