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Finding the Fourth Proportional to 9,710.49, 13,399.97 and 5,730.15

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Solution

The fourth proportional to 9,710.49, 13,399.97 and 5,730.15 is: 7,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.49 : 13,399.97 = 5,730.15 : x
  2. Step 2: Convert to fraction form
    9,710.49/13,399.97 = 5,730.15/x
  3. Step 3: Cross multiply
    9,710.49x = 13,399.97 × 5,730.15
  4. Step 4: Simplify right side
    9,710.49x = 76,783,859.69
  5. Step 5: Solve for x
    x = 76,783,859.69/9,710.49
  6. Step 6: Final answer
    x = 7,907.31

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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.