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Finding the Fourth Proportional to 9,914.94, 14,858.64 and 4,359.96

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Solution

The fourth proportional to 9,914.94, 14,858.64 and 4,359.96 is: 6,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.94 : 14,858.64 = 4,359.96 : x
  2. Step 2: Convert to fraction form
    9,914.94/14,858.64 = 4,359.96/x
  3. Step 3: Cross multiply
    9,914.94x = 14,858.64 × 4,359.96
  4. Step 4: Simplify right side
    9,914.94x = 64,783,076.05
  5. Step 5: Solve for x
    x = 64,783,076.05/9,914.94
  6. Step 6: Final answer
    x = 6,533.88

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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.