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Finding the Fourth Proportional to 9,822.43, 14,728.54 and 4,822.60

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Solution

The fourth proportional to 9,822.43, 14,728.54 and 4,822.60 is: 7,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.43 : 14,728.54 = 4,822.60 : x
  2. Step 2: Convert to fraction form
    9,822.43/14,728.54 = 4,822.60/x
  3. Step 3: Cross multiply
    9,822.43x = 14,728.54 × 4,822.60
  4. Step 4: Simplify right side
    9,822.43x = 71,029,857.00
  5. Step 5: Solve for x
    x = 71,029,857.00/9,822.43
  6. Step 6: Final answer
    x = 7,231.40

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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.