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Finding the Fourth Proportional to 9,923.10, 14,896.80 and 9,850.20

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Solution

The fourth proportional to 9,923.10, 14,896.80 and 9,850.20 is: 14,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.10 : 14,896.80 = 9,850.20 : x
  2. Step 2: Convert to fraction form
    9,923.10/14,896.80 = 9,850.20/x
  3. Step 3: Cross multiply
    9,923.10x = 14,896.80 × 9,850.20
  4. Step 4: Simplify right side
    9,923.10x = 146,736,459.36
  5. Step 5: Solve for x
    x = 146,736,459.36/9,923.10
  6. Step 6: Final answer
    x = 14,787.36

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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.