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Finding the Fourth Proportional to 9,827.96, 14,748 and 3,984.62

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Solution

The fourth proportional to 9,827.96, 14,748 and 3,984.62 is: 5,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.96 : 14,748 = 3,984.62 : x
  2. Step 2: Convert to fraction form
    9,827.96/14,748 = 3,984.62/x
  3. Step 3: Cross multiply
    9,827.96x = 14,748 × 3,984.62
  4. Step 4: Simplify right side
    9,827.96x = 58,765,175.76
  5. Step 5: Solve for x
    x = 58,765,175.76/9,827.96
  6. Step 6: Final answer
    x = 5,979.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.