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Finding the Fourth Proportional to 9,709.37, 13,401.15 and 6,873.80

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Solution

The fourth proportional to 9,709.37, 13,401.15 and 6,873.80 is: 9,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.37 : 13,401.15 = 6,873.80 : x
  2. Step 2: Convert to fraction form
    9,709.37/13,401.15 = 6,873.80/x
  3. Step 3: Cross multiply
    9,709.37x = 13,401.15 × 6,873.80
  4. Step 4: Simplify right side
    9,709.37x = 92,116,782.34
  5. Step 5: Solve for x
    x = 92,116,782.34/9,709.37
  6. Step 6: Final answer
    x = 9,487.41

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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.