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Finding the Fourth Proportional to 6,815.16, 9,404.80 and 4,162.57

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Solution

The fourth proportional to 6,815.16, 9,404.80 and 4,162.57 is: 5,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.16 : 9,404.80 = 4,162.57 : x
  2. Step 2: Convert to fraction form
    6,815.16/9,404.80 = 4,162.57/x
  3. Step 3: Cross multiply
    6,815.16x = 9,404.80 × 4,162.57
  4. Step 4: Simplify right side
    6,815.16x = 39,148,157.97
  5. Step 5: Solve for x
    x = 39,148,157.97/6,815.16
  6. Step 6: Final answer
    x = 5,744.27

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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.