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Finding the Fourth Proportional to 9,710.82, 13,400.91 and 5,519.07

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Solution

The fourth proportional to 9,710.82, 13,400.91 and 5,519.07 is: 7,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.82 : 13,400.91 = 5,519.07 : x
  2. Step 2: Convert to fraction form
    9,710.82/13,400.91 = 5,519.07/x
  3. Step 3: Cross multiply
    9,710.82x = 13,400.91 × 5,519.07
  4. Step 4: Simplify right side
    9,710.82x = 73,960,560.35
  5. Step 5: Solve for x
    x = 73,960,560.35/9,710.82
  6. Step 6: Final answer
    x = 7,616.30

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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.