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Finding the Fourth Proportional to 9,893.69, 14,842.76 and 3,319.71

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Solution

The fourth proportional to 9,893.69, 14,842.76 and 3,319.71 is: 4,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.69 : 14,842.76 = 3,319.71 : x
  2. Step 2: Convert to fraction form
    9,893.69/14,842.76 = 3,319.71/x
  3. Step 3: Cross multiply
    9,893.69x = 14,842.76 × 3,319.71
  4. Step 4: Simplify right side
    9,893.69x = 49,273,586.54
  5. Step 5: Solve for x
    x = 49,273,586.54/9,893.69
  6. Step 6: Final answer
    x = 4,980.30

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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.