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Finding the Fourth Proportional to 9,438.63, 13,025.63 and 5,190.08

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Solution

The fourth proportional to 9,438.63, 13,025.63 and 5,190.08 is: 7,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.63 : 13,025.63 = 5,190.08 : x
  2. Step 2: Convert to fraction form
    9,438.63/13,025.63 = 5,190.08/x
  3. Step 3: Cross multiply
    9,438.63x = 13,025.63 × 5,190.08
  4. Step 4: Simplify right side
    9,438.63x = 67,604,061.75
  5. Step 5: Solve for x
    x = 67,604,061.75/9,438.63
  6. Step 6: Final answer
    x = 7,162.49

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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.