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Finding the Fourth Proportional to 9,438.58, 13,025.31 and 5,903.80

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Solution

The fourth proportional to 9,438.58, 13,025.31 and 5,903.80 is: 8,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.58 : 13,025.31 = 5,903.80 : x
  2. Step 2: Convert to fraction form
    9,438.58/13,025.31 = 5,903.80/x
  3. Step 3: Cross multiply
    9,438.58x = 13,025.31 × 5,903.80
  4. Step 4: Simplify right side
    9,438.58x = 76,898,825.18
  5. Step 5: Solve for x
    x = 76,898,825.18/9,438.58
  6. Step 6: Final answer
    x = 8,147.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.