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Finding the Fourth Proportional to 6,160.28, 9,241.14 and 4,771.76

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Solution

The fourth proportional to 6,160.28, 9,241.14 and 4,771.76 is: 7,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.28 : 9,241.14 = 4,771.76 : x
  2. Step 2: Convert to fraction form
    6,160.28/9,241.14 = 4,771.76/x
  3. Step 3: Cross multiply
    6,160.28x = 9,241.14 × 4,771.76
  4. Step 4: Simplify right side
    6,160.28x = 44,096,502.21
  5. Step 5: Solve for x
    x = 44,096,502.21/6,160.28
  6. Step 6: Final answer
    x = 7,158.20

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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.