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Finding the Fourth Proportional to 9,770.31, 14,621.40 and 7,994.79

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Solution

The fourth proportional to 9,770.31, 14,621.40 and 7,994.79 is: 11,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.31 : 14,621.40 = 7,994.79 : x
  2. Step 2: Convert to fraction form
    9,770.31/14,621.40 = 7,994.79/x
  3. Step 3: Cross multiply
    9,770.31x = 14,621.40 × 7,994.79
  4. Step 4: Simplify right side
    9,770.31x = 116,895,022.51
  5. Step 5: Solve for x
    x = 116,895,022.51/9,770.31
  6. Step 6: Final answer
    x = 11,964.31

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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.