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Finding the Fourth Proportional to 9,935.68, 14,907.30 and 6,233.80

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Solution

The fourth proportional to 9,935.68, 14,907.30 and 6,233.80 is: 9,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.68 : 14,907.30 = 6,233.80 : x
  2. Step 2: Convert to fraction form
    9,935.68/14,907.30 = 6,233.80/x
  3. Step 3: Cross multiply
    9,935.68x = 14,907.30 × 6,233.80
  4. Step 4: Simplify right side
    9,935.68x = 92,929,126.74
  5. Step 5: Solve for x
    x = 92,929,126.74/9,935.68
  6. Step 6: Final answer
    x = 9,353.07

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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.