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Finding the Fourth Proportional to 9,858.54, 14,786.73 and 2,932.50

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Solution

The fourth proportional to 9,858.54, 14,786.73 and 2,932.50 is: 4,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.54 : 14,786.73 = 2,932.50 : x
  2. Step 2: Convert to fraction form
    9,858.54/14,786.73 = 2,932.50/x
  3. Step 3: Cross multiply
    9,858.54x = 14,786.73 × 2,932.50
  4. Step 4: Simplify right side
    9,858.54x = 43,362,085.73
  5. Step 5: Solve for x
    x = 43,362,085.73/9,858.54
  6. Step 6: Final answer
    x = 4,398.43

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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.