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Finding the Fourth Proportional to 9,823.47, 14,735.21 and 3,976.08

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Solution

The fourth proportional to 9,823.47, 14,735.21 and 3,976.08 is: 5,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.47 : 14,735.21 = 3,976.08 : x
  2. Step 2: Convert to fraction form
    9,823.47/14,735.21 = 3,976.08/x
  3. Step 3: Cross multiply
    9,823.47x = 14,735.21 × 3,976.08
  4. Step 4: Simplify right side
    9,823.47x = 58,588,353.90
  5. Step 5: Solve for x
    x = 58,588,353.90/9,823.47
  6. Step 6: Final answer
    x = 5,964.12

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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.