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Finding the Fourth Proportional to 9,394.94, 12,964.76 and 5,146.04

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Solution

The fourth proportional to 9,394.94, 12,964.76 and 5,146.04 is: 7,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.94 : 12,964.76 = 5,146.04 : x
  2. Step 2: Convert to fraction form
    9,394.94/12,964.76 = 5,146.04/x
  3. Step 3: Cross multiply
    9,394.94x = 12,964.76 × 5,146.04
  4. Step 4: Simplify right side
    9,394.94x = 66,717,173.55
  5. Step 5: Solve for x
    x = 66,717,173.55/9,394.94
  6. Step 6: Final answer
    x = 7,101.39

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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.