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Finding the Fourth Proportional to 6,709.48, 9,260.50 and 3,877.32

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Solution

The fourth proportional to 6,709.48, 9,260.50 and 3,877.32 is: 5,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.48 : 9,260.50 = 3,877.32 : x
  2. Step 2: Convert to fraction form
    6,709.48/9,260.50 = 3,877.32/x
  3. Step 3: Cross multiply
    6,709.48x = 9,260.50 × 3,877.32
  4. Step 4: Simplify right side
    6,709.48x = 35,905,921.86
  5. Step 5: Solve for x
    x = 35,905,921.86/6,709.48
  6. Step 6: Final answer
    x = 5,351.52

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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.