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Finding the Fourth Proportional to 9,891.18, 13,635.41 and 7,529.22

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Solution

The fourth proportional to 9,891.18, 13,635.41 and 7,529.22 is: 10,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.18 : 13,635.41 = 7,529.22 : x
  2. Step 2: Convert to fraction form
    9,891.18/13,635.41 = 7,529.22/x
  3. Step 3: Cross multiply
    9,891.18x = 13,635.41 × 7,529.22
  4. Step 4: Simplify right side
    9,891.18x = 102,663,964.03
  5. Step 5: Solve for x
    x = 102,663,964.03/9,891.18
  6. Step 6: Final answer
    x = 10,379.34

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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.