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Finding the Fourth Proportional to 6,100.34, 9,151.86 and 1,884.02

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Solution

The fourth proportional to 6,100.34, 9,151.86 and 1,884.02 is: 2,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.34 : 9,151.86 = 1,884.02 : x
  2. Step 2: Convert to fraction form
    6,100.34/9,151.86 = 1,884.02/x
  3. Step 3: Cross multiply
    6,100.34x = 9,151.86 × 1,884.02
  4. Step 4: Simplify right side
    6,100.34x = 17,242,287.28
  5. Step 5: Solve for x
    x = 17,242,287.28/6,100.34
  6. Step 6: Final answer
    x = 2,826.45

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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.