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Finding the Fourth Proportional to 9,564.45, 13,195.24 and 7,052.51

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Solution

The fourth proportional to 9,564.45, 13,195.24 and 7,052.51 is: 9,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.45 : 13,195.24 = 7,052.51 : x
  2. Step 2: Convert to fraction form
    9,564.45/13,195.24 = 7,052.51/x
  3. Step 3: Cross multiply
    9,564.45x = 13,195.24 × 7,052.51
  4. Step 4: Simplify right side
    9,564.45x = 93,059,562.05
  5. Step 5: Solve for x
    x = 93,059,562.05/9,564.45
  6. Step 6: Final answer
    x = 9,729.73

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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.