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Finding the Fourth Proportional to 9,710.33, 14,561.80 and 3,469.18

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Solution

The fourth proportional to 9,710.33, 14,561.80 and 3,469.18 is: 5,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.33 : 14,561.80 = 3,469.18 : x
  2. Step 2: Convert to fraction form
    9,710.33/14,561.80 = 3,469.18/x
  3. Step 3: Cross multiply
    9,710.33x = 14,561.80 × 3,469.18
  4. Step 4: Simplify right side
    9,710.33x = 50,517,505.32
  5. Step 5: Solve for x
    x = 50,517,505.32/9,710.33
  6. Step 6: Final answer
    x = 5,202.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.