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Finding the Fourth Proportional to 9,353.48, 12,907.84 and 5,104.64

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Solution

The fourth proportional to 9,353.48, 12,907.84 and 5,104.64 is: 7,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.48 : 12,907.84 = 5,104.64 : x
  2. Step 2: Convert to fraction form
    9,353.48/12,907.84 = 5,104.64/x
  3. Step 3: Cross multiply
    9,353.48x = 12,907.84 × 5,104.64
  4. Step 4: Simplify right side
    9,353.48x = 65,889,876.38
  5. Step 5: Solve for x
    x = 65,889,876.38/9,353.48
  6. Step 6: Final answer
    x = 7,044.42

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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.