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Finding the Fourth Proportional to 6,076.10, 9,114.15 and 5,492.90

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Solution

The fourth proportional to 6,076.10, 9,114.15 and 5,492.90 is: 8,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.10 : 9,114.15 = 5,492.90 : x
  2. Step 2: Convert to fraction form
    6,076.10/9,114.15 = 5,492.90/x
  3. Step 3: Cross multiply
    6,076.10x = 9,114.15 × 5,492.90
  4. Step 4: Simplify right side
    6,076.10x = 50,063,114.54
  5. Step 5: Solve for x
    x = 50,063,114.54/6,076.10
  6. Step 6: Final answer
    x = 8,239.35

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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.