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Finding the Fourth Proportional to 9,140.40, 13,698.45 and 6,540.30

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Solution

The fourth proportional to 9,140.40, 13,698.45 and 6,540.30 is: 9,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.40 : 13,698.45 = 6,540.30 : x
  2. Step 2: Convert to fraction form
    9,140.40/13,698.45 = 6,540.30/x
  3. Step 3: Cross multiply
    9,140.40x = 13,698.45 × 6,540.30
  4. Step 4: Simplify right side
    9,140.40x = 89,591,972.54
  5. Step 5: Solve for x
    x = 89,591,972.54/9,140.40
  6. Step 6: Final answer
    x = 9,801.76

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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.