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Finding the Fourth Proportional to 6,107.06, 9,152.22 and 4,023.92

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Solution

The fourth proportional to 6,107.06, 9,152.22 and 4,023.92 is: 6,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.06 : 9,152.22 = 4,023.92 : x
  2. Step 2: Convert to fraction form
    6,107.06/9,152.22 = 4,023.92/x
  3. Step 3: Cross multiply
    6,107.06x = 9,152.22 × 4,023.92
  4. Step 4: Simplify right side
    6,107.06x = 36,827,801.10
  5. Step 5: Solve for x
    x = 36,827,801.10/6,107.06
  6. Step 6: Final answer
    x = 6,030.37

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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.