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Finding the Fourth Proportional to 9,975.40, 14,965.34 and 8,996.20

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Solution

The fourth proportional to 9,975.40, 14,965.34 and 8,996.20 is: 13,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.40 : 14,965.34 = 8,996.20 : x
  2. Step 2: Convert to fraction form
    9,975.40/14,965.34 = 8,996.20/x
  3. Step 3: Cross multiply
    9,975.40x = 14,965.34 × 8,996.20
  4. Step 4: Simplify right side
    9,975.40x = 134,631,191.71
  5. Step 5: Solve for x
    x = 134,631,191.71/9,975.40
  6. Step 6: Final answer
    x = 13,496.32

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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.