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Finding the Fourth Proportional to 9,392.94, 12,962.01 and 5,144.04

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Solution

The fourth proportional to 9,392.94, 12,962.01 and 5,144.04 is: 7,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.94 : 12,962.01 = 5,144.04 : x
  2. Step 2: Convert to fraction form
    9,392.94/12,962.01 = 5,144.04/x
  3. Step 3: Cross multiply
    9,392.94x = 12,962.01 × 5,144.04
  4. Step 4: Simplify right side
    9,392.94x = 66,677,097.92
  5. Step 5: Solve for x
    x = 66,677,097.92/9,392.94
  6. Step 6: Final answer
    x = 7,098.64

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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.