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Finding the Fourth Proportional to 6,889.69, 9,507.89 and 3,905.46

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Solution

The fourth proportional to 6,889.69, 9,507.89 and 3,905.46 is: 5,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.69 : 9,507.89 = 3,905.46 : x
  2. Step 2: Convert to fraction form
    6,889.69/9,507.89 = 3,905.46/x
  3. Step 3: Cross multiply
    6,889.69x = 9,507.89 × 3,905.46
  4. Step 4: Simplify right side
    6,889.69x = 37,132,684.08
  5. Step 5: Solve for x
    x = 37,132,684.08/6,889.69
  6. Step 6: Final answer
    x = 5,389.60

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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.