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Finding the Fourth Proportional to 9,361.56, 12,932.24 and 7,485.60

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Solution

The fourth proportional to 9,361.56, 12,932.24 and 7,485.60 is: 10,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.56 : 12,932.24 = 7,485.60 : x
  2. Step 2: Convert to fraction form
    9,361.56/12,932.24 = 7,485.60/x
  3. Step 3: Cross multiply
    9,361.56x = 12,932.24 × 7,485.60
  4. Step 4: Simplify right side
    9,361.56x = 96,805,575.74
  5. Step 5: Solve for x
    x = 96,805,575.74/9,361.56
  6. Step 6: Final answer
    x = 10,340.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.