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Finding the Fourth Proportional to 9,893.81, 14,842.94 and 3,319.83

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Solution

The fourth proportional to 9,893.81, 14,842.94 and 3,319.83 is: 4,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.81 : 14,842.94 = 3,319.83 : x
  2. Step 2: Convert to fraction form
    9,893.81/14,842.94 = 3,319.83/x
  3. Step 3: Cross multiply
    9,893.81x = 14,842.94 × 3,319.83
  4. Step 4: Simplify right side
    9,893.81x = 49,276,037.50
  5. Step 5: Solve for x
    x = 49,276,037.50/9,893.81
  6. Step 6: Final answer
    x = 4,980.49

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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.