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Finding the Fourth Proportional to 9,563.64, 13,192.20 and 6,735.12

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Solution

The fourth proportional to 9,563.64, 13,192.20 and 6,735.12 is: 9,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.64 : 13,192.20 = 6,735.12 : x
  2. Step 2: Convert to fraction form
    9,563.64/13,192.20 = 6,735.12/x
  3. Step 3: Cross multiply
    9,563.64x = 13,192.20 × 6,735.12
  4. Step 4: Simplify right side
    9,563.64x = 88,851,050.06
  5. Step 5: Solve for x
    x = 88,851,050.06/9,563.64
  6. Step 6: Final answer
    x = 9,290.51

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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.