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Finding the Fourth Proportional to 6,709.32, 9,257.49 and 3,875.67

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Solution

The fourth proportional to 6,709.32, 9,257.49 and 3,875.67 is: 5,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.32 : 9,257.49 = 3,875.67 : x
  2. Step 2: Convert to fraction form
    6,709.32/9,257.49 = 3,875.67/x
  3. Step 3: Cross multiply
    6,709.32x = 9,257.49 × 3,875.67
  4. Step 4: Simplify right side
    6,709.32x = 35,878,976.27
  5. Step 5: Solve for x
    x = 35,878,976.27/6,709.32
  6. Step 6: Final answer
    x = 5,347.63

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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.