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Finding the Fourth Proportional to 6,206.76, 8,565.37 and 3,374.12

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Solution

The fourth proportional to 6,206.76, 8,565.37 and 3,374.12 is: 4,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.76 : 8,565.37 = 3,374.12 : x
  2. Step 2: Convert to fraction form
    6,206.76/8,565.37 = 3,374.12/x
  3. Step 3: Cross multiply
    6,206.76x = 8,565.37 × 3,374.12
  4. Step 4: Simplify right side
    6,206.76x = 28,900,586.22
  5. Step 5: Solve for x
    x = 28,900,586.22/6,206.76
  6. Step 6: Final answer
    x = 4,656.31

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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.