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Finding the Fourth Proportional to 9,384.61, 14,076.40 and 2,364.61

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Solution

The fourth proportional to 9,384.61, 14,076.40 and 2,364.61 is: 3,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.61 : 14,076.40 = 2,364.61 : x
  2. Step 2: Convert to fraction form
    9,384.61/14,076.40 = 2,364.61/x
  3. Step 3: Cross multiply
    9,384.61x = 14,076.40 × 2,364.61
  4. Step 4: Simplify right side
    9,384.61x = 33,285,185.93
  5. Step 5: Solve for x
    x = 33,285,185.93/9,384.61
  6. Step 6: Final answer
    x = 3,546.78

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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.