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Finding the Fourth Proportional to 6,815.81, 9,407.51 and 4,165.46

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Solution

The fourth proportional to 6,815.81, 9,407.51 and 4,165.46 is: 5,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.81 : 9,407.51 = 4,165.46 : x
  2. Step 2: Convert to fraction form
    6,815.81/9,407.51 = 4,165.46/x
  3. Step 3: Cross multiply
    6,815.81x = 9,407.51 × 4,165.46
  4. Step 4: Simplify right side
    6,815.81x = 39,186,589.64
  5. Step 5: Solve for x
    x = 39,186,589.64/6,815.81
  6. Step 6: Final answer
    x = 5,749.36

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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.