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Finding the Fourth Proportional to 9,364.34, 12,922.78 and 5,172.58

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Solution

The fourth proportional to 9,364.34, 12,922.78 and 5,172.58 is: 7,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.34 : 12,922.78 = 5,172.58 : x
  2. Step 2: Convert to fraction form
    9,364.34/12,922.78 = 5,172.58/x
  3. Step 3: Cross multiply
    9,364.34x = 12,922.78 × 5,172.58
  4. Step 4: Simplify right side
    9,364.34x = 66,844,113.37
  5. Step 5: Solve for x
    x = 66,844,113.37/9,364.34
  6. Step 6: Final answer
    x = 7,138.16

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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.