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Finding the Fourth Proportional to 6,345.38, 9,512.94 and 2,650.40

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Solution

The fourth proportional to 6,345.38, 9,512.94 and 2,650.40 is: 3,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.38 : 9,512.94 = 2,650.40 : x
  2. Step 2: Convert to fraction form
    6,345.38/9,512.94 = 2,650.40/x
  3. Step 3: Cross multiply
    6,345.38x = 9,512.94 × 2,650.40
  4. Step 4: Simplify right side
    6,345.38x = 25,213,096.18
  5. Step 5: Solve for x
    x = 25,213,096.18/6,345.38
  6. Step 6: Final answer
    x = 3,973.46

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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.