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Finding the Fourth Proportional to 6,597.65, 9,883.40 and 3,472.94

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Solution

The fourth proportional to 6,597.65, 9,883.40 and 3,472.94 is: 5,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.65 : 9,883.40 = 3,472.94 : x
  2. Step 2: Convert to fraction form
    6,597.65/9,883.40 = 3,472.94/x
  3. Step 3: Cross multiply
    6,597.65x = 9,883.40 × 3,472.94
  4. Step 4: Simplify right side
    6,597.65x = 34,324,388.41
  5. Step 5: Solve for x
    x = 34,324,388.41/6,597.65
  6. Step 6: Final answer
    x = 5,202.52

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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.