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Finding the Fourth Proportional to 6,097.41, 9,134.37 and 4,011.05

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Solution

The fourth proportional to 6,097.41, 9,134.37 and 4,011.05 is: 6,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.41 : 9,134.37 = 4,011.05 : x
  2. Step 2: Convert to fraction form
    6,097.41/9,134.37 = 4,011.05/x
  3. Step 3: Cross multiply
    6,097.41x = 9,134.37 × 4,011.05
  4. Step 4: Simplify right side
    6,097.41x = 36,638,437.62
  5. Step 5: Solve for x
    x = 36,638,437.62/6,097.41
  6. Step 6: Final answer
    x = 6,008.85

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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.