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Finding the Fourth Proportional to 9,767.84, 13,478.81 and 5,519.27

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Solution

The fourth proportional to 9,767.84, 13,478.81 and 5,519.27 is: 7,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.84 : 13,478.81 = 5,519.27 : x
  2. Step 2: Convert to fraction form
    9,767.84/13,478.81 = 5,519.27/x
  3. Step 3: Cross multiply
    9,767.84x = 13,478.81 × 5,519.27
  4. Step 4: Simplify right side
    9,767.84x = 74,393,191.67
  5. Step 5: Solve for x
    x = 74,393,191.67/9,767.84
  6. Step 6: Final answer
    x = 7,616.14

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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.