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Finding the Fourth Proportional to 9,664.16, 14,401.16 and 9,350.56

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Solution

The fourth proportional to 9,664.16, 14,401.16 and 9,350.56 is: 13,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.16 : 14,401.16 = 9,350.56 : x
  2. Step 2: Convert to fraction form
    9,664.16/14,401.16 = 9,350.56/x
  3. Step 3: Cross multiply
    9,664.16x = 14,401.16 × 9,350.56
  4. Step 4: Simplify right side
    9,664.16x = 134,658,910.65
  5. Step 5: Solve for x
    x = 134,658,910.65/9,664.16
  6. Step 6: Final answer
    x = 13,933.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.