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Finding the Fourth Proportional to 9,564.57, 13,195.44 and 7,052.67

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Solution

The fourth proportional to 9,564.57, 13,195.44 and 7,052.67 is: 9,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.57 : 13,195.44 = 7,052.67 : x
  2. Step 2: Convert to fraction form
    9,564.57/13,195.44 = 7,052.67/x
  3. Step 3: Cross multiply
    9,564.57x = 13,195.44 × 7,052.67
  4. Step 4: Simplify right side
    9,564.57x = 93,063,083.82
  5. Step 5: Solve for x
    x = 93,063,083.82/9,564.57
  6. Step 6: Final answer
    x = 9,729.98

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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.