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Finding the Fourth Proportional to 6,123.33, 9,185.06 and 1,740.78

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Solution

The fourth proportional to 6,123.33, 9,185.06 and 1,740.78 is: 2,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.33 : 9,185.06 = 1,740.78 : x
  2. Step 2: Convert to fraction form
    6,123.33/9,185.06 = 1,740.78/x
  3. Step 3: Cross multiply
    6,123.33x = 9,185.06 × 1,740.78
  4. Step 4: Simplify right side
    6,123.33x = 15,989,173.10
  5. Step 5: Solve for x
    x = 15,989,173.10/6,123.33
  6. Step 6: Final answer
    x = 2,611.19

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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.