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Finding the Fourth Proportional to 9,464.37, 14,203.64 and 7,637.41

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Solution

The fourth proportional to 9,464.37, 14,203.64 and 7,637.41 is: 11,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.37 : 14,203.64 = 7,637.41 : x
  2. Step 2: Convert to fraction form
    9,464.37/14,203.64 = 7,637.41/x
  3. Step 3: Cross multiply
    9,464.37x = 14,203.64 × 7,637.41
  4. Step 4: Simplify right side
    9,464.37x = 108,479,022.17
  5. Step 5: Solve for x
    x = 108,479,022.17/9,464.37
  6. Step 6: Final answer
    x = 11,461.83

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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.