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Finding the Fourth Proportional to 9,065.70, 12,516.71 and 5,667.84

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Solution

The fourth proportional to 9,065.70, 12,516.71 and 5,667.84 is: 7,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.70 : 12,516.71 = 5,667.84 : x
  2. Step 2: Convert to fraction form
    9,065.70/12,516.71 = 5,667.84/x
  3. Step 3: Cross multiply
    9,065.70x = 12,516.71 × 5,667.84
  4. Step 4: Simplify right side
    9,065.70x = 70,942,709.61
  5. Step 5: Solve for x
    x = 70,942,709.61/9,065.70
  6. Step 6: Final answer
    x = 7,825.40

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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.