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Finding the Fourth Proportional to 9,436.34, 14,157.54 and 2,863.20

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Solution

The fourth proportional to 9,436.34, 14,157.54 and 2,863.20 is: 4,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.34 : 14,157.54 = 2,863.20 : x
  2. Step 2: Convert to fraction form
    9,436.34/14,157.54 = 2,863.20/x
  3. Step 3: Cross multiply
    9,436.34x = 14,157.54 × 2,863.20
  4. Step 4: Simplify right side
    9,436.34x = 40,535,868.53
  5. Step 5: Solve for x
    x = 40,535,868.53/9,436.34
  6. Step 6: Final answer
    x = 4,295.72

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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.