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Finding the Fourth Proportional to 6,404.75, 8,845.85 and 4,305.23

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Solution

The fourth proportional to 6,404.75, 8,845.85 and 4,305.23 is: 5,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.75 : 8,845.85 = 4,305.23 : x
  2. Step 2: Convert to fraction form
    6,404.75/8,845.85 = 4,305.23/x
  3. Step 3: Cross multiply
    6,404.75x = 8,845.85 × 4,305.23
  4. Step 4: Simplify right side
    6,404.75x = 38,083,397.27
  5. Step 5: Solve for x
    x = 38,083,397.27/6,404.75
  6. Step 6: Final answer
    x = 5,946.12

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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.