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Finding the Fourth Proportional to 6,114.36, 8,437.74 and 3,319.86

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Solution

The fourth proportional to 6,114.36, 8,437.74 and 3,319.86 is: 4,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.36 : 8,437.74 = 3,319.86 : x
  2. Step 2: Convert to fraction form
    6,114.36/8,437.74 = 3,319.86/x
  3. Step 3: Cross multiply
    6,114.36x = 8,437.74 × 3,319.86
  4. Step 4: Simplify right side
    6,114.36x = 28,012,115.52
  5. Step 5: Solve for x
    x = 28,012,115.52/6,114.36
  6. Step 6: Final answer
    x = 4,581.37

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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.