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Finding the Fourth Proportional to 9,632.34, 14,448.50 and 6,661.44

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Solution

The fourth proportional to 9,632.34, 14,448.50 and 6,661.44 is: 9,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.34 : 14,448.50 = 6,661.44 : x
  2. Step 2: Convert to fraction form
    9,632.34/14,448.50 = 6,661.44/x
  3. Step 3: Cross multiply
    9,632.34x = 14,448.50 × 6,661.44
  4. Step 4: Simplify right side
    9,632.34x = 96,247,826.25
  5. Step 5: Solve for x
    x = 96,247,826.25/9,632.34
  6. Step 6: Final answer
    x = 9,992.15

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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.