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Finding the Fourth Proportional to 9,364, 12,922.38 and 5,172.40

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Solution

The fourth proportional to 9,364, 12,922.38 and 5,172.40 is: 7,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364 : 12,922.38 = 5,172.40 : x
  2. Step 2: Convert to fraction form
    9,364/12,922.38 = 5,172.40/x
  3. Step 3: Cross multiply
    9,364x = 12,922.38 × 5,172.40
  4. Step 4: Simplify right side
    9,364x = 66,839,718.31
  5. Step 5: Solve for x
    x = 66,839,718.31/9,364
  6. Step 6: Final answer
    x = 7,137.95

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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.