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Finding the Fourth Proportional to 9,967.50, 13,755.16 and 5,778.18

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Solution

The fourth proportional to 9,967.50, 13,755.16 and 5,778.18 is: 7,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.50 : 13,755.16 = 5,778.18 : x
  2. Step 2: Convert to fraction form
    9,967.50/13,755.16 = 5,778.18/x
  3. Step 3: Cross multiply
    9,967.50x = 13,755.16 × 5,778.18
  4. Step 4: Simplify right side
    9,967.50x = 79,479,790.41
  5. Step 5: Solve for x
    x = 79,479,790.41/9,967.50
  6. Step 6: Final answer
    x = 7,973.89

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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.