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Finding the Fourth Proportional to 9,645.50, 14,468.24 and 6,334.65

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Solution

The fourth proportional to 9,645.50, 14,468.24 and 6,334.65 is: 9,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.50 : 14,468.24 = 6,334.65 : x
  2. Step 2: Convert to fraction form
    9,645.50/14,468.24 = 6,334.65/x
  3. Step 3: Cross multiply
    9,645.50x = 14,468.24 × 6,334.65
  4. Step 4: Simplify right side
    9,645.50x = 91,651,204.84
  5. Step 5: Solve for x
    x = 91,651,204.84/9,645.50
  6. Step 6: Final answer
    x = 9,501.97

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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.