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Finding the Fourth Proportional to 6,114.95, 8,442.83 and 4,128.29

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Solution

The fourth proportional to 6,114.95, 8,442.83 and 4,128.29 is: 5,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.95 : 8,442.83 = 4,128.29 : x
  2. Step 2: Convert to fraction form
    6,114.95/8,442.83 = 4,128.29/x
  3. Step 3: Cross multiply
    6,114.95x = 8,442.83 × 4,128.29
  4. Step 4: Simplify right side
    6,114.95x = 34,854,450.66
  5. Step 5: Solve for x
    x = 34,854,450.66/6,114.95
  6. Step 6: Final answer
    x = 5,699.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.