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Finding the Fourth Proportional to 6,113.28, 9,161.28 and 3,185.40

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Solution

The fourth proportional to 6,113.28, 9,161.28 and 3,185.40 is: 4,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.28 : 9,161.28 = 3,185.40 : x
  2. Step 2: Convert to fraction form
    6,113.28/9,161.28 = 3,185.40/x
  3. Step 3: Cross multiply
    6,113.28x = 9,161.28 × 3,185.40
  4. Step 4: Simplify right side
    6,113.28x = 29,182,341.31
  5. Step 5: Solve for x
    x = 29,182,341.31/6,113.28
  6. Step 6: Final answer
    x = 4,773.60

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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.