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Finding the Fourth Proportional to 9,438.59, 14,157.15 and 2,864.81

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Solution

The fourth proportional to 9,438.59, 14,157.15 and 2,864.81 is: 4,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.59 : 14,157.15 = 2,864.81 : x
  2. Step 2: Convert to fraction form
    9,438.59/14,157.15 = 2,864.81/x
  3. Step 3: Cross multiply
    9,438.59x = 14,157.15 × 2,864.81
  4. Step 4: Simplify right side
    9,438.59x = 40,557,544.89
  5. Step 5: Solve for x
    x = 40,557,544.89/9,438.59
  6. Step 6: Final answer
    x = 4,296.99

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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.