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Finding the Fourth Proportional to 6,302.43, 9,445.82 and 2,788.65

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Solution

The fourth proportional to 6,302.43, 9,445.82 and 2,788.65 is: 4,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.43 : 9,445.82 = 2,788.65 : x
  2. Step 2: Convert to fraction form
    6,302.43/9,445.82 = 2,788.65/x
  3. Step 3: Cross multiply
    6,302.43x = 9,445.82 × 2,788.65
  4. Step 4: Simplify right side
    6,302.43x = 26,341,072.00
  5. Step 5: Solve for x
    x = 26,341,072.00/6,302.43
  6. Step 6: Final answer
    x = 4,179.51

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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.