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Finding the Fourth Proportional to 6,541.38, 9,819.12 and 2,648.34

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Solution

The fourth proportional to 6,541.38, 9,819.12 and 2,648.34 is: 3,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.38 : 9,819.12 = 2,648.34 : x
  2. Step 2: Convert to fraction form
    6,541.38/9,819.12 = 2,648.34/x
  3. Step 3: Cross multiply
    6,541.38x = 9,819.12 × 2,648.34
  4. Step 4: Simplify right side
    6,541.38x = 26,004,368.26
  5. Step 5: Solve for x
    x = 26,004,368.26/6,541.38
  6. Step 6: Final answer
    x = 3,975.36

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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.