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Finding the Fourth Proportional to 9,893.72, 14,838.14 and 3,319.76

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Solution

The fourth proportional to 9,893.72, 14,838.14 and 3,319.76 is: 4,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.72 : 14,838.14 = 3,319.76 : x
  2. Step 2: Convert to fraction form
    9,893.72/14,838.14 = 3,319.76/x
  3. Step 3: Cross multiply
    9,893.72x = 14,838.14 × 3,319.76
  4. Step 4: Simplify right side
    9,893.72x = 49,259,063.65
  5. Step 5: Solve for x
    x = 49,259,063.65/9,893.72
  6. Step 6: Final answer
    x = 4,978.82

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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.