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Finding the Fourth Proportional to 9,438.96, 13,025.90 and 5,190.20

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Solution

The fourth proportional to 9,438.96, 13,025.90 and 5,190.20 is: 7,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.96 : 13,025.90 = 5,190.20 : x
  2. Step 2: Convert to fraction form
    9,438.96/13,025.90 = 5,190.20/x
  3. Step 3: Cross multiply
    9,438.96x = 13,025.90 × 5,190.20
  4. Step 4: Simplify right side
    9,438.96x = 67,607,026.18
  5. Step 5: Solve for x
    x = 67,607,026.18/9,438.96
  6. Step 6: Final answer
    x = 7,162.55

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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.