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Finding the Fourth Proportional to 9,822.76, 14,734.46 and 4,829.64

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Solution

The fourth proportional to 9,822.76, 14,734.46 and 4,829.64 is: 7,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.76 : 14,734.46 = 4,829.64 : x
  2. Step 2: Convert to fraction form
    9,822.76/14,734.46 = 4,829.64/x
  3. Step 3: Cross multiply
    9,822.76x = 14,734.46 × 4,829.64
  4. Step 4: Simplify right side
    9,822.76x = 71,162,137.39
  5. Step 5: Solve for x
    x = 71,162,137.39/9,822.76
  6. Step 6: Final answer
    x = 7,244.62

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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.