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Finding the Fourth Proportional to 9,822.68, 14,734.50 and 4,829.60

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Solution

The fourth proportional to 9,822.68, 14,734.50 and 4,829.60 is: 7,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.68 : 14,734.50 = 4,829.60 : x
  2. Step 2: Convert to fraction form
    9,822.68/14,734.50 = 4,829.60/x
  3. Step 3: Cross multiply
    9,822.68x = 14,734.50 × 4,829.60
  4. Step 4: Simplify right side
    9,822.68x = 71,161,741.20
  5. Step 5: Solve for x
    x = 71,161,741.20/9,822.68
  6. Step 6: Final answer
    x = 7,244.64

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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.