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Finding the Fourth Proportional to 6,214.60, 9,322.04 and 1,832.20

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Solution

The fourth proportional to 6,214.60, 9,322.04 and 1,832.20 is: 2,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.60 : 9,322.04 = 1,832.20 : x
  2. Step 2: Convert to fraction form
    6,214.60/9,322.04 = 1,832.20/x
  3. Step 3: Cross multiply
    6,214.60x = 9,322.04 × 1,832.20
  4. Step 4: Simplify right side
    6,214.60x = 17,079,841.69
  5. Step 5: Solve for x
    x = 17,079,841.69/6,214.60
  6. Step 6: Final answer
    x = 2,748.34

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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.