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Finding the Fourth Proportional to 6,124.60, 9,186.73 and 1,742.05

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Solution

The fourth proportional to 6,124.60, 9,186.73 and 1,742.05 is: 2,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.60 : 9,186.73 = 1,742.05 : x
  2. Step 2: Convert to fraction form
    6,124.60/9,186.73 = 1,742.05/x
  3. Step 3: Cross multiply
    6,124.60x = 9,186.73 × 1,742.05
  4. Step 4: Simplify right side
    6,124.60x = 16,003,743.00
  5. Step 5: Solve for x
    x = 16,003,743.00/6,124.60
  6. Step 6: Final answer
    x = 2,613.03

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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.