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Finding the Fourth Proportional to 9,438.56, 14,157.52 and 2,864.48

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Solution

The fourth proportional to 9,438.56, 14,157.52 and 2,864.48 is: 4,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.56 : 14,157.52 = 2,864.48 : x
  2. Step 2: Convert to fraction form
    9,438.56/14,157.52 = 2,864.48/x
  3. Step 3: Cross multiply
    9,438.56x = 14,157.52 × 2,864.48
  4. Step 4: Simplify right side
    9,438.56x = 40,553,932.89
  5. Step 5: Solve for x
    x = 40,553,932.89/9,438.56
  6. Step 6: Final answer
    x = 4,296.62

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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.