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Finding the Fourth Proportional to 9,081.69, 12,532 and 5,102.67

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Solution

The fourth proportional to 9,081.69, 12,532 and 5,102.67 is: 7,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.69 : 12,532 = 5,102.67 : x
  2. Step 2: Convert to fraction form
    9,081.69/12,532 = 5,102.67/x
  3. Step 3: Cross multiply
    9,081.69x = 12,532 × 5,102.67
  4. Step 4: Simplify right side
    9,081.69x = 63,946,660.44
  5. Step 5: Solve for x
    x = 63,946,660.44/9,081.69
  6. Step 6: Final answer
    x = 7,041.27

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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.