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Finding the Fourth Proportional to 9,438.01, 14,157.06 and 2,864.25

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Solution

The fourth proportional to 9,438.01, 14,157.06 and 2,864.25 is: 4,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.01 : 14,157.06 = 2,864.25 : x
  2. Step 2: Convert to fraction form
    9,438.01/14,157.06 = 2,864.25/x
  3. Step 3: Cross multiply
    9,438.01x = 14,157.06 × 2,864.25
  4. Step 4: Simplify right side
    9,438.01x = 40,549,348.36
  5. Step 5: Solve for x
    x = 40,549,348.36/9,438.01
  6. Step 6: Final answer
    x = 4,296.39

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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.