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Finding the Fourth Proportional to 9,358.56, 12,915.36 and 5,380.80

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Solution

The fourth proportional to 9,358.56, 12,915.36 and 5,380.80 is: 7,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.56 : 12,915.36 = 5,380.80 : x
  2. Step 2: Convert to fraction form
    9,358.56/12,915.36 = 5,380.80/x
  3. Step 3: Cross multiply
    9,358.56x = 12,915.36 × 5,380.80
  4. Step 4: Simplify right side
    9,358.56x = 69,494,969.09
  5. Step 5: Solve for x
    x = 69,494,969.09/9,358.56
  6. Step 6: Final answer
    x = 7,425.82

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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.