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Finding the Fourth Proportional to 6,096.37, 8,412.70 and 3,407.71

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Solution

The fourth proportional to 6,096.37, 8,412.70 and 3,407.71 is: 4,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.37 : 8,412.70 = 3,407.71 : x
  2. Step 2: Convert to fraction form
    6,096.37/8,412.70 = 3,407.71/x
  3. Step 3: Cross multiply
    6,096.37x = 8,412.70 × 3,407.71
  4. Step 4: Simplify right side
    6,096.37x = 28,668,041.92
  5. Step 5: Solve for x
    x = 28,668,041.92/6,096.37
  6. Step 6: Final answer
    x = 4,702.48

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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.