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Finding the Fourth Proportional to 9,464.67, 14,201.11 and 5,077.00

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Solution

The fourth proportional to 9,464.67, 14,201.11 and 5,077.00 is: 7,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.67 : 14,201.11 = 5,077.00 : x
  2. Step 2: Convert to fraction form
    9,464.67/14,201.11 = 5,077.00/x
  3. Step 3: Cross multiply
    9,464.67x = 14,201.11 × 5,077.00
  4. Step 4: Simplify right side
    9,464.67x = 72,099,067.16
  5. Step 5: Solve for x
    x = 72,099,067.16/9,464.67
  6. Step 6: Final answer
    x = 7,617.70

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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.