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Finding the Fourth Proportional to 9,682.20, 13,365.54 and 6,542.64

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Solution

The fourth proportional to 9,682.20, 13,365.54 and 6,542.64 is: 9,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.20 : 13,365.54 = 6,542.64 : x
  2. Step 2: Convert to fraction form
    9,682.20/13,365.54 = 6,542.64/x
  3. Step 3: Cross multiply
    9,682.20x = 13,365.54 × 6,542.64
  4. Step 4: Simplify right side
    9,682.20x = 87,445,916.63
  5. Step 5: Solve for x
    x = 87,445,916.63/9,682.20
  6. Step 6: Final answer
    x = 9,031.62

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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.