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Finding the Fourth Proportional to 6,023.04, 9,030.96 and 2,322.20

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Solution

The fourth proportional to 6,023.04, 9,030.96 and 2,322.20 is: 3,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.04 : 9,030.96 = 2,322.20 : x
  2. Step 2: Convert to fraction form
    6,023.04/9,030.96 = 2,322.20/x
  3. Step 3: Cross multiply
    6,023.04x = 9,030.96 × 2,322.20
  4. Step 4: Simplify right side
    6,023.04x = 20,971,695.31
  5. Step 5: Solve for x
    x = 20,971,695.31/6,023.04
  6. Step 6: Final answer
    x = 3,481.91

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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.