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Finding the Fourth Proportional to 6,164.46, 9,250.02 and 2,876.76

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Solution

The fourth proportional to 6,164.46, 9,250.02 and 2,876.76 is: 4,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.46 : 9,250.02 = 2,876.76 : x
  2. Step 2: Convert to fraction form
    6,164.46/9,250.02 = 2,876.76/x
  3. Step 3: Cross multiply
    6,164.46x = 9,250.02 × 2,876.76
  4. Step 4: Simplify right side
    6,164.46x = 26,610,087.54
  5. Step 5: Solve for x
    x = 26,610,087.54/6,164.46
  6. Step 6: Final answer
    x = 4,316.69

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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.