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Finding the Fourth Proportional to 9,858.80, 14,787.96 and 4,014

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Solution

The fourth proportional to 9,858.80, 14,787.96 and 4,014 is: 6,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.80 : 14,787.96 = 4,014 : x
  2. Step 2: Convert to fraction form
    9,858.80/14,787.96 = 4,014/x
  3. Step 3: Cross multiply
    9,858.80x = 14,787.96 × 4,014
  4. Step 4: Simplify right side
    9,858.80x = 59,358,871.44
  5. Step 5: Solve for x
    x = 59,358,871.44/9,858.80
  6. Step 6: Final answer
    x = 6,020.90

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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.