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Finding the Fourth Proportional to 6,114.66, 9,176.58 and 2,830.05

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Solution

The fourth proportional to 6,114.66, 9,176.58 and 2,830.05 is: 4,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.66 : 9,176.58 = 2,830.05 : x
  2. Step 2: Convert to fraction form
    6,114.66/9,176.58 = 2,830.05/x
  3. Step 3: Cross multiply
    6,114.66x = 9,176.58 × 2,830.05
  4. Step 4: Simplify right side
    6,114.66x = 25,970,180.23
  5. Step 5: Solve for x
    x = 25,970,180.23/6,114.66
  6. Step 6: Final answer
    x = 4,247.20

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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.