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Finding the Fourth Proportional to 9,710.82, 13,400.90 and 5,519.08

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Solution

The fourth proportional to 9,710.82, 13,400.90 and 5,519.08 is: 7,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.82 : 13,400.90 = 5,519.08 : x
  2. Step 2: Convert to fraction form
    9,710.82/13,400.90 = 5,519.08/x
  3. Step 3: Cross multiply
    9,710.82x = 13,400.90 × 5,519.08
  4. Step 4: Simplify right side
    9,710.82x = 73,960,639.17
  5. Step 5: Solve for x
    x = 73,960,639.17/9,710.82
  6. Step 6: Final answer
    x = 7,616.31

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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.