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Finding the Fourth Proportional to 9,364.18, 12,922.22 and 5,172.34

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Solution

The fourth proportional to 9,364.18, 12,922.22 and 5,172.34 is: 7,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.18 : 12,922.22 = 5,172.34 : x
  2. Step 2: Convert to fraction form
    9,364.18/12,922.22 = 5,172.34/x
  3. Step 3: Cross multiply
    9,364.18x = 12,922.22 × 5,172.34
  4. Step 4: Simplify right side
    9,364.18x = 66,838,115.39
  5. Step 5: Solve for x
    x = 66,838,115.39/9,364.18
  6. Step 6: Final answer
    x = 7,137.64

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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.