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Finding the Fourth Proportional to 9,840.68, 14,761.16 and 5,485.82

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Solution

The fourth proportional to 9,840.68, 14,761.16 and 5,485.82 is: 8,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.68 : 14,761.16 = 5,485.82 : x
  2. Step 2: Convert to fraction form
    9,840.68/14,761.16 = 5,485.82/x
  3. Step 3: Cross multiply
    9,840.68x = 14,761.16 × 5,485.82
  4. Step 4: Simplify right side
    9,840.68x = 80,977,066.75
  5. Step 5: Solve for x
    x = 80,977,066.75/9,840.68
  6. Step 6: Final answer
    x = 8,228.81

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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.