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Finding the Fourth Proportional to 9,438.56, 14,159.04 and 2,863.76

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Solution

The fourth proportional to 9,438.56, 14,159.04 and 2,863.76 is: 4,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.56 : 14,159.04 = 2,863.76 : x
  2. Step 2: Convert to fraction form
    9,438.56/14,159.04 = 2,863.76/x
  3. Step 3: Cross multiply
    9,438.56x = 14,159.04 × 2,863.76
  4. Step 4: Simplify right side
    9,438.56x = 40,548,092.39
  5. Step 5: Solve for x
    x = 40,548,092.39/9,438.56
  6. Step 6: Final answer
    x = 4,296.00

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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.