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Finding the Fourth Proportional to 9,211.36, 12,711.36 and 5,232.40

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Solution

The fourth proportional to 9,211.36, 12,711.36 and 5,232.40 is: 7,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.36 : 12,711.36 = 5,232.40 : x
  2. Step 2: Convert to fraction form
    9,211.36/12,711.36 = 5,232.40/x
  3. Step 3: Cross multiply
    9,211.36x = 12,711.36 × 5,232.40
  4. Step 4: Simplify right side
    9,211.36x = 66,510,920.06
  5. Step 5: Solve for x
    x = 66,510,920.06/9,211.36
  6. Step 6: Final answer
    x = 7,220.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.