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Finding the Fourth Proportional to 6,576, 9,075.96 and 3,783.12

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Solution

The fourth proportional to 6,576, 9,075.96 and 3,783.12 is: 5,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576 : 9,075.96 = 3,783.12 : x
  2. Step 2: Convert to fraction form
    6,576/9,075.96 = 3,783.12/x
  3. Step 3: Cross multiply
    6,576x = 9,075.96 × 3,783.12
  4. Step 4: Simplify right side
    6,576x = 34,335,445.80
  5. Step 5: Solve for x
    x = 34,335,445.80/6,576
  6. Step 6: Final answer
    x = 5,221.33

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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.