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Finding the Fourth Proportional to 9,738.92, 14,608.38 and 4,543.58

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Solution

The fourth proportional to 9,738.92, 14,608.38 and 4,543.58 is: 6,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.92 : 14,608.38 = 4,543.58 : x
  2. Step 2: Convert to fraction form
    9,738.92/14,608.38 = 4,543.58/x
  3. Step 3: Cross multiply
    9,738.92x = 14,608.38 × 4,543.58
  4. Step 4: Simplify right side
    9,738.92x = 66,374,343.20
  5. Step 5: Solve for x
    x = 66,374,343.20/9,738.92
  6. Step 6: Final answer
    x = 6,815.37

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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.