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Finding the Fourth Proportional to 6,114.42, 8,437.86 and 3,319.92

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Solution

The fourth proportional to 6,114.42, 8,437.86 and 3,319.92 is: 4,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.42 : 8,437.86 = 3,319.92 : x
  2. Step 2: Convert to fraction form
    6,114.42/8,437.86 = 3,319.92/x
  3. Step 3: Cross multiply
    6,114.42x = 8,437.86 × 3,319.92
  4. Step 4: Simplify right side
    6,114.42x = 28,013,020.17
  5. Step 5: Solve for x
    x = 28,013,020.17/6,114.42
  6. Step 6: Final answer
    x = 4,581.47

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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.