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Finding the Fourth Proportional to 9,721.56, 13,420.10 and 7,563.22

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Solution

The fourth proportional to 9,721.56, 13,420.10 and 7,563.22 is: 10,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.56 : 13,420.10 = 7,563.22 : x
  2. Step 2: Convert to fraction form
    9,721.56/13,420.10 = 7,563.22/x
  3. Step 3: Cross multiply
    9,721.56x = 13,420.10 × 7,563.22
  4. Step 4: Simplify right side
    9,721.56x = 101,499,168.72
  5. Step 5: Solve for x
    x = 101,499,168.72/9,721.56
  6. Step 6: Final answer
    x = 10,440.63

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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.