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Finding the Fourth Proportional to 9,336.98, 14,010.33 and 4,146.50

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Solution

The fourth proportional to 9,336.98, 14,010.33 and 4,146.50 is: 6,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.98 : 14,010.33 = 4,146.50 : x
  2. Step 2: Convert to fraction form
    9,336.98/14,010.33 = 4,146.50/x
  3. Step 3: Cross multiply
    9,336.98x = 14,010.33 × 4,146.50
  4. Step 4: Simplify right side
    9,336.98x = 58,093,833.35
  5. Step 5: Solve for x
    x = 58,093,833.35/9,336.98
  6. Step 6: Final answer
    x = 6,221.91

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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.