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Finding the Fourth Proportional to 6,815.10, 9,406.62 and 4,164.73

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Solution

The fourth proportional to 6,815.10, 9,406.62 and 4,164.73 is: 5,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.10 : 9,406.62 = 4,164.73 : x
  2. Step 2: Convert to fraction form
    6,815.10/9,406.62 = 4,164.73/x
  3. Step 3: Cross multiply
    6,815.10x = 9,406.62 × 4,164.73
  4. Step 4: Simplify right side
    6,815.10x = 39,176,032.51
  5. Step 5: Solve for x
    x = 39,176,032.51/6,815.10
  6. Step 6: Final answer
    x = 5,748.42

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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.