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Finding the Fourth Proportional to 6,044.63, 9,068.96 and 5,462.33

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Solution

The fourth proportional to 6,044.63, 9,068.96 and 5,462.33 is: 8,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.63 : 9,068.96 = 5,462.33 : x
  2. Step 2: Convert to fraction form
    6,044.63/9,068.96 = 5,462.33/x
  3. Step 3: Cross multiply
    6,044.63x = 9,068.96 × 5,462.33
  4. Step 4: Simplify right side
    6,044.63x = 49,537,620.59
  5. Step 5: Solve for x
    x = 49,537,620.59/6,044.63
  6. Step 6: Final answer
    x = 8,195.32

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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.