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Finding the Fourth Proportional to 9,438.50, 13,024.86 and 5,189.57

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Solution

The fourth proportional to 9,438.50, 13,024.86 and 5,189.57 is: 7,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.50 : 13,024.86 = 5,189.57 : x
  2. Step 2: Convert to fraction form
    9,438.50/13,024.86 = 5,189.57/x
  3. Step 3: Cross multiply
    9,438.50x = 13,024.86 × 5,189.57
  4. Step 4: Simplify right side
    9,438.50x = 67,593,386.97
  5. Step 5: Solve for x
    x = 67,593,386.97/9,438.50
  6. Step 6: Final answer
    x = 7,161.45

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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.