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Finding the Fourth Proportional to 6,123.54, 9,185.22 and 4,056.60

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Solution

The fourth proportional to 6,123.54, 9,185.22 and 4,056.60 is: 6,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.54 : 9,185.22 = 4,056.60 : x
  2. Step 2: Convert to fraction form
    6,123.54/9,185.22 = 4,056.60/x
  3. Step 3: Cross multiply
    6,123.54x = 9,185.22 × 4,056.60
  4. Step 4: Simplify right side
    6,123.54x = 37,260,763.45
  5. Step 5: Solve for x
    x = 37,260,763.45/6,123.54
  6. Step 6: Final answer
    x = 6,084.84

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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.