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Finding the Fourth Proportional to 9,846.72, 14,770.08 and 2,921.60

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Solution

The fourth proportional to 9,846.72, 14,770.08 and 2,921.60 is: 4,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.72 : 14,770.08 = 2,921.60 : x
  2. Step 2: Convert to fraction form
    9,846.72/14,770.08 = 2,921.60/x
  3. Step 3: Cross multiply
    9,846.72x = 14,770.08 × 2,921.60
  4. Step 4: Simplify right side
    9,846.72x = 43,152,265.73
  5. Step 5: Solve for x
    x = 43,152,265.73/9,846.72
  6. Step 6: Final answer
    x = 4,382.40

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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.