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Finding the Fourth Proportional to 9,438.12, 14,159.00 and 2,865.27

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Solution

The fourth proportional to 9,438.12, 14,159.00 and 2,865.27 is: 4,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.12 : 14,159.00 = 2,865.27 : x
  2. Step 2: Convert to fraction form
    9,438.12/14,159.00 = 2,865.27/x
  3. Step 3: Cross multiply
    9,438.12x = 14,159.00 × 2,865.27
  4. Step 4: Simplify right side
    9,438.12x = 40,569,418.19
  5. Step 5: Solve for x
    x = 40,569,418.19/9,438.12
  6. Step 6: Final answer
    x = 4,298.46

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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.