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Finding the Fourth Proportional to 9,770.82, 13,484.84 and 5,523.59

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Solution

The fourth proportional to 9,770.82, 13,484.84 and 5,523.59 is: 7,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.82 : 13,484.84 = 5,523.59 : x
  2. Step 2: Convert to fraction form
    9,770.82/13,484.84 = 5,523.59/x
  3. Step 3: Cross multiply
    9,770.82x = 13,484.84 × 5,523.59
  4. Step 4: Simplify right side
    9,770.82x = 74,484,632.33
  5. Step 5: Solve for x
    x = 74,484,632.33/9,770.82
  6. Step 6: Final answer
    x = 7,623.17

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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.