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Finding the Fourth Proportional to 9,804.33, 14,704.53 and 4,804.56

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Solution

The fourth proportional to 9,804.33, 14,704.53 and 4,804.56 is: 7,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.33 : 14,704.53 = 4,804.56 : x
  2. Step 2: Convert to fraction form
    9,804.33/14,704.53 = 4,804.56/x
  3. Step 3: Cross multiply
    9,804.33x = 14,704.53 × 4,804.56
  4. Step 4: Simplify right side
    9,804.33x = 70,648,796.66
  5. Step 5: Solve for x
    x = 70,648,796.66/9,804.33
  6. Step 6: Final answer
    x = 7,205.88

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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.