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Finding the Fourth Proportional to 6,510.44, 9,765.36 and 2,127.36

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Solution

The fourth proportional to 6,510.44, 9,765.36 and 2,127.36 is: 3,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.44 : 9,765.36 = 2,127.36 : x
  2. Step 2: Convert to fraction form
    6,510.44/9,765.36 = 2,127.36/x
  3. Step 3: Cross multiply
    6,510.44x = 9,765.36 × 2,127.36
  4. Step 4: Simplify right side
    6,510.44x = 20,774,436.25
  5. Step 5: Solve for x
    x = 20,774,436.25/6,510.44
  6. Step 6: Final answer
    x = 3,190.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.