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Finding the Fourth Proportional to 9,858.86, 14,787.32 and 2,933.42

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Solution

The fourth proportional to 9,858.86, 14,787.32 and 2,933.42 is: 4,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.86 : 14,787.32 = 2,933.42 : x
  2. Step 2: Convert to fraction form
    9,858.86/14,787.32 = 2,933.42/x
  3. Step 3: Cross multiply
    9,858.86x = 14,787.32 × 2,933.42
  4. Step 4: Simplify right side
    9,858.86x = 43,377,420.23
  5. Step 5: Solve for x
    x = 43,377,420.23/9,858.86
  6. Step 6: Final answer
    x = 4,399.84

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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.