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Finding the Fourth Proportional to 6,890.40, 9,507.96 and 3,905.64

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Solution

The fourth proportional to 6,890.40, 9,507.96 and 3,905.64 is: 5,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.40 : 9,507.96 = 3,905.64 : x
  2. Step 2: Convert to fraction form
    6,890.40/9,507.96 = 3,905.64/x
  3. Step 3: Cross multiply
    6,890.40x = 9,507.96 × 3,905.64
  4. Step 4: Simplify right side
    6,890.40x = 37,134,668.89
  5. Step 5: Solve for x
    x = 37,134,668.89/6,890.40
  6. Step 6: Final answer
    x = 5,389.33

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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.