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Finding the Fourth Proportional to 9,632.88, 14,455.80 and 4,439.16

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Solution

The fourth proportional to 9,632.88, 14,455.80 and 4,439.16 is: 6,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.88 : 14,455.80 = 4,439.16 : x
  2. Step 2: Convert to fraction form
    9,632.88/14,455.80 = 4,439.16/x
  3. Step 3: Cross multiply
    9,632.88x = 14,455.80 × 4,439.16
  4. Step 4: Simplify right side
    9,632.88x = 64,171,609.13
  5. Step 5: Solve for x
    x = 64,171,609.13/9,632.88
  6. Step 6: Final answer
    x = 6,661.73

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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.