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Finding the Fourth Proportional to 6,710.70, 9,259.09 and 4,022.34

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Solution

The fourth proportional to 6,710.70, 9,259.09 and 4,022.34 is: 5,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.70 : 9,259.09 = 4,022.34 : x
  2. Step 2: Convert to fraction form
    6,710.70/9,259.09 = 4,022.34/x
  3. Step 3: Cross multiply
    6,710.70x = 9,259.09 × 4,022.34
  4. Step 4: Simplify right side
    6,710.70x = 37,243,208.07
  5. Step 5: Solve for x
    x = 37,243,208.07/6,710.70
  6. Step 6: Final answer
    x = 5,549.82

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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.