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Finding the Fourth Proportional to 6,100.66, 9,151.86 and 1,884.28

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Solution

The fourth proportional to 6,100.66, 9,151.86 and 1,884.28 is: 2,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.66 : 9,151.86 = 1,884.28 : x
  2. Step 2: Convert to fraction form
    6,100.66/9,151.86 = 1,884.28/x
  3. Step 3: Cross multiply
    6,100.66x = 9,151.86 × 1,884.28
  4. Step 4: Simplify right side
    6,100.66x = 17,244,666.76
  5. Step 5: Solve for x
    x = 17,244,666.76/6,100.66
  6. Step 6: Final answer
    x = 2,826.69

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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.