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Finding the Fourth Proportional to 9,975.33, 13,766 and 5,498.98

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Solution

The fourth proportional to 9,975.33, 13,766 and 5,498.98 is: 7,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.33 : 13,766 = 5,498.98 : x
  2. Step 2: Convert to fraction form
    9,975.33/13,766 = 5,498.98/x
  3. Step 3: Cross multiply
    9,975.33x = 13,766 × 5,498.98
  4. Step 4: Simplify right side
    9,975.33x = 75,698,958.68
  5. Step 5: Solve for x
    x = 75,698,958.68/9,975.33
  6. Step 6: Final answer
    x = 7,588.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.