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Finding the Fourth Proportional to 7,023.45, 9,689.07 and 4,189.23

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Solution

The fourth proportional to 7,023.45, 9,689.07 and 4,189.23 is: 5,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.45 : 9,689.07 = 4,189.23 : x
  2. Step 2: Convert to fraction form
    7,023.45/9,689.07 = 4,189.23/x
  3. Step 3: Cross multiply
    7,023.45x = 9,689.07 × 4,189.23
  4. Step 4: Simplify right side
    7,023.45x = 40,589,742.72
  5. Step 5: Solve for x
    x = 40,589,742.72/7,023.45
  6. Step 6: Final answer
    x = 5,779.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.