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Finding the Fourth Proportional to 6,133.70, 9,200.55 and 5,161.70

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Solution

The fourth proportional to 6,133.70, 9,200.55 and 5,161.70 is: 7,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.70 : 9,200.55 = 5,161.70 : x
  2. Step 2: Convert to fraction form
    6,133.70/9,200.55 = 5,161.70/x
  3. Step 3: Cross multiply
    6,133.70x = 9,200.55 × 5,161.70
  4. Step 4: Simplify right side
    6,133.70x = 47,490,478.94
  5. Step 5: Solve for x
    x = 47,490,478.94/6,133.70
  6. Step 6: Final answer
    x = 7,742.55

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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.