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Finding the Fourth Proportional to 9,707.15, 13,377.34 and 8,362.34

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Solution

The fourth proportional to 9,707.15, 13,377.34 and 8,362.34 is: 11,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.15 : 13,377.34 = 8,362.34 : x
  2. Step 2: Convert to fraction form
    9,707.15/13,377.34 = 8,362.34/x
  3. Step 3: Cross multiply
    9,707.15x = 13,377.34 × 8,362.34
  4. Step 4: Simplify right side
    9,707.15x = 111,865,823.56
  5. Step 5: Solve for x
    x = 111,865,823.56/9,707.15
  6. Step 6: Final answer
    x = 11,524.06

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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.