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Finding the Fourth Proportional to 6,174.60, 9,263.36 and 2,014.61

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Solution

The fourth proportional to 6,174.60, 9,263.36 and 2,014.61 is: 3,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.60 : 9,263.36 = 2,014.61 : x
  2. Step 2: Convert to fraction form
    6,174.60/9,263.36 = 2,014.61/x
  3. Step 3: Cross multiply
    6,174.60x = 9,263.36 × 2,014.61
  4. Step 4: Simplify right side
    6,174.60x = 18,662,068.52
  5. Step 5: Solve for x
    x = 18,662,068.52/6,174.60
  6. Step 6: Final answer
    x = 3,022.39

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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.