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Finding the Fourth Proportional to 9,816.77, 13,537.81 and 7,575.09

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Solution

The fourth proportional to 9,816.77, 13,537.81 and 7,575.09 is: 10,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.77 : 13,537.81 = 7,575.09 : x
  2. Step 2: Convert to fraction form
    9,816.77/13,537.81 = 7,575.09/x
  3. Step 3: Cross multiply
    9,816.77x = 13,537.81 × 7,575.09
  4. Step 4: Simplify right side
    9,816.77x = 102,550,129.15
  5. Step 5: Solve for x
    x = 102,550,129.15/9,816.77
  6. Step 6: Final answer
    x = 10,446.42

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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.