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Finding the Fourth Proportional to 9,734.31, 13,432.77 and 5,755.77

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Solution

The fourth proportional to 9,734.31, 13,432.77 and 5,755.77 is: 7,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.31 : 13,432.77 = 5,755.77 : x
  2. Step 2: Convert to fraction form
    9,734.31/13,432.77 = 5,755.77/x
  3. Step 3: Cross multiply
    9,734.31x = 13,432.77 × 5,755.77
  4. Step 4: Simplify right side
    9,734.31x = 77,315,934.58
  5. Step 5: Solve for x
    x = 77,315,934.58/9,734.31
  6. Step 6: Final answer
    x = 7,942.62

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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.