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Finding the Fourth Proportional to 6,152.51, 9,214.07 and 3,182.96

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Solution

The fourth proportional to 6,152.51, 9,214.07 and 3,182.96 is: 4,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.51 : 9,214.07 = 3,182.96 : x
  2. Step 2: Convert to fraction form
    6,152.51/9,214.07 = 3,182.96/x
  3. Step 3: Cross multiply
    6,152.51x = 9,214.07 × 3,182.96
  4. Step 4: Simplify right side
    6,152.51x = 29,328,023.37
  5. Step 5: Solve for x
    x = 29,328,023.37/6,152.51
  6. Step 6: Final answer
    x = 4,766.84

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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.