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Finding the Fourth Proportional to 9,622.64, 13,237.62 and 7,850.36

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Solution

The fourth proportional to 9,622.64, 13,237.62 and 7,850.36 is: 10,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.64 : 13,237.62 = 7,850.36 : x
  2. Step 2: Convert to fraction form
    9,622.64/13,237.62 = 7,850.36/x
  3. Step 3: Cross multiply
    9,622.64x = 13,237.62 × 7,850.36
  4. Step 4: Simplify right side
    9,622.64x = 103,920,082.54
  5. Step 5: Solve for x
    x = 103,920,082.54/9,622.64
  6. Step 6: Final answer
    x = 10,799.54

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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.