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Finding the Fourth Proportional to 6,094.77, 9,132.56 and 4,711.49

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Solution

The fourth proportional to 6,094.77, 9,132.56 and 4,711.49 is: 7,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.77 : 9,132.56 = 4,711.49 : x
  2. Step 2: Convert to fraction form
    6,094.77/9,132.56 = 4,711.49/x
  3. Step 3: Cross multiply
    6,094.77x = 9,132.56 × 4,711.49
  4. Step 4: Simplify right side
    6,094.77x = 43,027,982.06
  5. Step 5: Solve for x
    x = 43,027,982.06/6,094.77
  6. Step 6: Final answer
    x = 7,059.82

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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.