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Finding the Fourth Proportional to 9,207.72, 12,706.52 and 5,228.80

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Solution

The fourth proportional to 9,207.72, 12,706.52 and 5,228.80 is: 7,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.72 : 12,706.52 = 5,228.80 : x
  2. Step 2: Convert to fraction form
    9,207.72/12,706.52 = 5,228.80/x
  3. Step 3: Cross multiply
    9,207.72x = 12,706.52 × 5,228.80
  4. Step 4: Simplify right side
    9,207.72x = 66,439,851.78
  5. Step 5: Solve for x
    x = 66,439,851.78/9,207.72
  6. Step 6: Final answer
    x = 7,215.67

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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.