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Finding the Fourth Proportional to 9,757.24, 13,471.84 and 7,515.56

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Solution

The fourth proportional to 9,757.24, 13,471.84 and 7,515.56 is: 10,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.24 : 13,471.84 = 7,515.56 : x
  2. Step 2: Convert to fraction form
    9,757.24/13,471.84 = 7,515.56/x
  3. Step 3: Cross multiply
    9,757.24x = 13,471.84 × 7,515.56
  4. Step 4: Simplify right side
    9,757.24x = 101,248,421.83
  5. Step 5: Solve for x
    x = 101,248,421.83/9,757.24
  6. Step 6: Final answer
    x = 10,376.75

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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.