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Finding the Fourth Proportional to 6,076.60, 9,114.90 and 4,009.78

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Solution

The fourth proportional to 6,076.60, 9,114.90 and 4,009.78 is: 6,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.60 : 9,114.90 = 4,009.78 : x
  2. Step 2: Convert to fraction form
    6,076.60/9,114.90 = 4,009.78/x
  3. Step 3: Cross multiply
    6,076.60x = 9,114.90 × 4,009.78
  4. Step 4: Simplify right side
    6,076.60x = 36,548,743.72
  5. Step 5: Solve for x
    x = 36,548,743.72/6,076.60
  6. Step 6: Final answer
    x = 6,014.67

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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.