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Finding the Fourth Proportional to 9,716.73, 13,401.41 and 6,529.65

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Solution

The fourth proportional to 9,716.73, 13,401.41 and 6,529.65 is: 9,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.73 : 13,401.41 = 6,529.65 : x
  2. Step 2: Convert to fraction form
    9,716.73/13,401.41 = 6,529.65/x
  3. Step 3: Cross multiply
    9,716.73x = 13,401.41 × 6,529.65
  4. Step 4: Simplify right side
    9,716.73x = 87,506,516.81
  5. Step 5: Solve for x
    x = 87,506,516.81/9,716.73
  6. Step 6: Final answer
    x = 9,005.76

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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.