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Finding the Fourth Proportional to 9,820.39, 14,735.28 and 4,890.46

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Solution

The fourth proportional to 9,820.39, 14,735.28 and 4,890.46 is: 7,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.39 : 14,735.28 = 4,890.46 : x
  2. Step 2: Convert to fraction form
    9,820.39/14,735.28 = 4,890.46/x
  3. Step 3: Cross multiply
    9,820.39x = 14,735.28 × 4,890.46
  4. Step 4: Simplify right side
    9,820.39x = 72,062,297.43
  5. Step 5: Solve for x
    x = 72,062,297.43/9,820.39
  6. Step 6: Final answer
    x = 7,338.03

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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.