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Finding the Fourth Proportional to 9,682.11, 14,525.64 and 6,901.92

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Solution

The fourth proportional to 9,682.11, 14,525.64 and 6,901.92 is: 10,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.11 : 14,525.64 = 6,901.92 : x
  2. Step 2: Convert to fraction form
    9,682.11/14,525.64 = 6,901.92/x
  3. Step 3: Cross multiply
    9,682.11x = 14,525.64 × 6,901.92
  4. Step 4: Simplify right side
    9,682.11x = 100,254,805.23
  5. Step 5: Solve for x
    x = 100,254,805.23/9,682.11
  6. Step 6: Final answer
    x = 10,354.64

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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.