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Finding the Fourth Proportional to 9,770.37, 13,483.79 and 5,519.97

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Solution

The fourth proportional to 9,770.37, 13,483.79 and 5,519.97 is: 7,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.37 : 13,483.79 = 5,519.97 : x
  2. Step 2: Convert to fraction form
    9,770.37/13,483.79 = 5,519.97/x
  3. Step 3: Cross multiply
    9,770.37x = 13,483.79 × 5,519.97
  4. Step 4: Simplify right side
    9,770.37x = 74,430,088.69
  5. Step 5: Solve for x
    x = 74,430,088.69/9,770.37
  6. Step 6: Final answer
    x = 7,617.94

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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.