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Finding the Fourth Proportional to 9,769.84, 14,631.17 and 5,597.19

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Solution

The fourth proportional to 9,769.84, 14,631.17 and 5,597.19 is: 8,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.84 : 14,631.17 = 5,597.19 : x
  2. Step 2: Convert to fraction form
    9,769.84/14,631.17 = 5,597.19/x
  3. Step 3: Cross multiply
    9,769.84x = 14,631.17 × 5,597.19
  4. Step 4: Simplify right side
    9,769.84x = 81,893,410.43
  5. Step 5: Solve for x
    x = 81,893,410.43/9,769.84
  6. Step 6: Final answer
    x = 8,382.27

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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.