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Finding the Fourth Proportional to 9,438.42, 14,159.68 and 2,865.10

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Solution

The fourth proportional to 9,438.42, 14,159.68 and 2,865.10 is: 4,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.42 : 14,159.68 = 2,865.10 : x
  2. Step 2: Convert to fraction form
    9,438.42/14,159.68 = 2,865.10/x
  3. Step 3: Cross multiply
    9,438.42x = 14,159.68 × 2,865.10
  4. Step 4: Simplify right side
    9,438.42x = 40,568,899.17
  5. Step 5: Solve for x
    x = 40,568,899.17/9,438.42
  6. Step 6: Final answer
    x = 4,298.27

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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.