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Finding the Fourth Proportional to 9,474.56, 13,075.20 and 5,282.24

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Solution

The fourth proportional to 9,474.56, 13,075.20 and 5,282.24 is: 7,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.56 : 13,075.20 = 5,282.24 : x
  2. Step 2: Convert to fraction form
    9,474.56/13,075.20 = 5,282.24/x
  3. Step 3: Cross multiply
    9,474.56x = 13,075.20 × 5,282.24
  4. Step 4: Simplify right side
    9,474.56x = 69,066,344.45
  5. Step 5: Solve for x
    x = 69,066,344.45/9,474.56
  6. Step 6: Final answer
    x = 7,289.66

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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.