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Finding the Fourth Proportional to 9,707.88, 13,401.90 and 6,877.56

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Solution

The fourth proportional to 9,707.88, 13,401.90 and 6,877.56 is: 9,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.88 : 13,401.90 = 6,877.56 : x
  2. Step 2: Convert to fraction form
    9,707.88/13,401.90 = 6,877.56/x
  3. Step 3: Cross multiply
    9,707.88x = 13,401.90 × 6,877.56
  4. Step 4: Simplify right side
    9,707.88x = 92,172,371.36
  5. Step 5: Solve for x
    x = 92,172,371.36/9,707.88
  6. Step 6: Final answer
    x = 9,494.59

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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.