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Finding the Fourth Proportional to 6,805.72, 9,391.55 and 4,567.29

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Solution

The fourth proportional to 6,805.72, 9,391.55 and 4,567.29 is: 6,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.72 : 9,391.55 = 4,567.29 : x
  2. Step 2: Convert to fraction form
    6,805.72/9,391.55 = 4,567.29/x
  3. Step 3: Cross multiply
    6,805.72x = 9,391.55 × 4,567.29
  4. Step 4: Simplify right side
    6,805.72x = 42,893,874.34
  5. Step 5: Solve for x
    x = 42,893,874.34/6,805.72
  6. Step 6: Final answer
    x = 6,302.62

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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.