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Finding the Fourth Proportional to 9,935.94, 14,900.09 and 4,233.30

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Solution

The fourth proportional to 9,935.94, 14,900.09 and 4,233.30 is: 6,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.94 : 14,900.09 = 4,233.30 : x
  2. Step 2: Convert to fraction form
    9,935.94/14,900.09 = 4,233.30/x
  3. Step 3: Cross multiply
    9,935.94x = 14,900.09 × 4,233.30
  4. Step 4: Simplify right side
    9,935.94x = 63,076,551.00
  5. Step 5: Solve for x
    x = 63,076,551.00/9,935.94
  6. Step 6: Final answer
    x = 6,348.32

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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.