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Finding the Fourth Proportional to 9,745.81, 14,608.23 and 4,201.76

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Solution

The fourth proportional to 9,745.81, 14,608.23 and 4,201.76 is: 6,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.81 : 14,608.23 = 4,201.76 : x
  2. Step 2: Convert to fraction form
    9,745.81/14,608.23 = 4,201.76/x
  3. Step 3: Cross multiply
    9,745.81x = 14,608.23 × 4,201.76
  4. Step 4: Simplify right side
    9,745.81x = 61,380,276.48
  5. Step 5: Solve for x
    x = 61,380,276.48/9,745.81
  6. Step 6: Final answer
    x = 6,298.12

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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.