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Finding the Fourth Proportional to 6,155.28, 9,232.86 and 1,538.28

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Solution

The fourth proportional to 6,155.28, 9,232.86 and 1,538.28 is: 2,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.28 : 9,232.86 = 1,538.28 : x
  2. Step 2: Convert to fraction form
    6,155.28/9,232.86 = 1,538.28/x
  3. Step 3: Cross multiply
    6,155.28x = 9,232.86 × 1,538.28
  4. Step 4: Simplify right side
    6,155.28x = 14,202,723.88
  5. Step 5: Solve for x
    x = 14,202,723.88/6,155.28
  6. Step 6: Final answer
    x = 2,307.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.