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Finding the Fourth Proportional to 9,733.68, 13,432.68 and 5,755.80

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Solution

The fourth proportional to 9,733.68, 13,432.68 and 5,755.80 is: 7,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.68 : 13,432.68 = 5,755.80 : x
  2. Step 2: Convert to fraction form
    9,733.68/13,432.68 = 5,755.80/x
  3. Step 3: Cross multiply
    9,733.68x = 13,432.68 × 5,755.80
  4. Step 4: Simplify right side
    9,733.68x = 77,315,819.54
  5. Step 5: Solve for x
    x = 77,315,819.54/9,733.68
  6. Step 6: Final answer
    x = 7,943.12

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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.