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Finding the Fourth Proportional to 6,939.47, 9,564.80 and 5,260.34

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Solution

The fourth proportional to 6,939.47, 9,564.80 and 5,260.34 is: 7,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.47 : 9,564.80 = 5,260.34 : x
  2. Step 2: Convert to fraction form
    6,939.47/9,564.80 = 5,260.34/x
  3. Step 3: Cross multiply
    6,939.47x = 9,564.80 × 5,260.34
  4. Step 4: Simplify right side
    6,939.47x = 50,314,025.91
  5. Step 5: Solve for x
    x = 50,314,025.91/6,939.47
  6. Step 6: Final answer
    x = 7,250.42

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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.