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Finding the Fourth Proportional to 9,147.94, 13,724.03 and 4,703.92

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Solution

The fourth proportional to 9,147.94, 13,724.03 and 4,703.92 is: 7,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.94 : 13,724.03 = 4,703.92 : x
  2. Step 2: Convert to fraction form
    9,147.94/13,724.03 = 4,703.92/x
  3. Step 3: Cross multiply
    9,147.94x = 13,724.03 × 4,703.92
  4. Step 4: Simplify right side
    9,147.94x = 64,556,793.85
  5. Step 5: Solve for x
    x = 64,556,793.85/9,147.94
  6. Step 6: Final answer
    x = 7,056.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.