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Finding the Fourth Proportional to 9,438.00, 14,157.09 and 2,864.19

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Solution

The fourth proportional to 9,438.00, 14,157.09 and 2,864.19 is: 4,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.00 : 14,157.09 = 2,864.19 : x
  2. Step 2: Convert to fraction form
    9,438.00/14,157.09 = 2,864.19/x
  3. Step 3: Cross multiply
    9,438.00x = 14,157.09 × 2,864.19
  4. Step 4: Simplify right side
    9,438.00x = 40,548,534.46
  5. Step 5: Solve for x
    x = 40,548,534.46/9,438.00
  6. Step 6: Final answer
    x = 4,296.31

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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.