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Finding the Fourth Proportional to 9,564.72, 13,195.72 and 7,052.83

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Solution

The fourth proportional to 9,564.72, 13,195.72 and 7,052.83 is: 9,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.72 : 13,195.72 = 7,052.83 : x
  2. Step 2: Convert to fraction form
    9,564.72/13,195.72 = 7,052.83/x
  3. Step 3: Cross multiply
    9,564.72x = 13,195.72 × 7,052.83
  4. Step 4: Simplify right side
    9,564.72x = 93,067,169.89
  5. Step 5: Solve for x
    x = 93,067,169.89/9,564.72
  6. Step 6: Final answer
    x = 9,730.26

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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.