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Finding the Fourth Proportional to 6,568.92, 9,065.12 and 4,211.06

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Solution

The fourth proportional to 6,568.92, 9,065.12 and 4,211.06 is: 5,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.92 : 9,065.12 = 4,211.06 : x
  2. Step 2: Convert to fraction form
    6,568.92/9,065.12 = 4,211.06/x
  3. Step 3: Cross multiply
    6,568.92x = 9,065.12 × 4,211.06
  4. Step 4: Simplify right side
    6,568.92x = 38,173,765.83
  5. Step 5: Solve for x
    x = 38,173,765.83/6,568.92
  6. Step 6: Final answer
    x = 5,811.27

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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.